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404111042000040 = 233516261120709497
BaseRepresentation
bin101101111100010010110111…
…1000110111011010010101000
31221222211122020100001212210010
41123320211233012323102220
5410431423403223000130
63551250014432251520
7151056026225235054
oct13370455706732250
91858748210055703
10404111042000040
11107842592068431
12393a75163a0ba0
131446467a69754b
1471b11162ccc64
1531abcc790c0b0
hex16f896f1bb4a8

404111042000040 has 64 divisors (see below), whose sum is σ = 1212340639959360. Its totient is φ = 107762276625920.

The previous prime is 404111041999979. The next prime is 404111042000129. The reversal of 404111042000040 is 40000240111404.

It is a junction number, because it is equal to n+sod(n) for n = 404111041999980 and 404111042000016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9158572 + ... + 29868068.

It is an arithmetic number, because the mean of its divisors is an integer number (18942822499365).

Almost surely, 2404111042000040 is an apocalyptic number.

404111042000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404111042000040 is an abundant number, since it is smaller than the sum of its proper divisors (808229597959320).

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

404111042000040 is a wasteful number, since it uses less digits than its factorization.

404111042000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20872122 (or 20872118 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 404111042000040 its reverse (40000240111404), we get a palindrome (444111282111444).

The spelling of 404111042000040 in words is "four hundred four trillion, one hundred eleven billion, forty-two million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 162611 325222 487833 650444 813055 975666 1300888 1626110 1951332 2439165 3252220 3902664 4878330 6504440 9756660 19513320 20709497 41418994 62128491 82837988 103547485 124256982 165675976 207094970 248513964 310642455 414189940 497027928 621284910 828379880 1242569820 2485139640 3367592016667 6735184033334 10102776050001 13470368066668 16837960083335 20205552100002 26940736133336 33675920166670 40411104200004 50513880250005 67351840333340 80822208400008 101027760500010 134703680666680 202055521000020 404111042000040