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40790296400 = 2452717856939
BaseRepresentation
bin100101111111010010…
…101000011101010000
310220021202010202100112
4211333102220131100
51132014303441100
630423325340452
72642551540640
oct457722503520
9126252122315
1040790296400
1116332071467
127aa4707728
133b00a18779
141d8d52c520
1510db093b35
hex97f4a8750

40790296400 has 120 divisors (see below), whose sum is σ = 118586784960. Its totient is φ = 13162567680.

The previous prime is 40790296397. The next prime is 40790296411. The reversal of 40790296400 is 469209704.

40790296400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380870 + ... + 476069.

It is an arithmetic number, because the mean of its divisors is an integer number (988223208).

Almost surely, 240790296400 is an apocalyptic number.

40790296400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40790296400 is an abundant number, since it is smaller than the sum of its proper divisors (77796488560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40790296400 is a wasteful number, since it uses less digits than its factorization.

40790296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856981 (or 856970 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 40790296400 in words is "forty billion, seven hundred ninety million, two hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 136 140 170 175 200 238 272 280 340 350 400 425 476 560 595 680 700 850 952 1190 1360 1400 1700 1904 2380 2800 2975 3400 4760 5950 6800 9520 11900 23800 47600 856939 1713878 3427756 4284695 5998573 6855512 8569390 11997146 13711024 14567963 17138780 21423475 23994292 29135926 29992865 34277560 42846950 47988584 58271852 59985730 68555120 72839815 85693900 95977168 101975741 116543704 119971460 145679630 149964325 171387800 203951482 233087408 239942920 291359260 299928650 342775600 364199075 407902964 479885840 509878705 582718520 599857300 728398150 815805928 1019757410 1165437040 1199714600 1456796300 1631611856 2039514820 2399429200 2549393525 2913592600 4079029640 5098787050 5827185200 8158059280 10197574100 20395148200 40790296400