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40444000440 = 2335521646897
BaseRepresentation
bin100101101010101001…
…100111100010111000
310212101121112002121020
4211222221213202320
51130312131003230
630325115142440
72631145221504
oct455251474270
9125347462536
1040444000440
1116174647158
127a08744a20
133a7705b50c
141d59547304
1510ba98c810
hex96aa678b8

40444000440 has 64 divisors (see below), whose sum is σ = 121565072160. Its totient is φ = 10764349440.

The previous prime is 40444000427. The next prime is 40444000451. The reversal of 40444000440 is 4400044404.

40444000440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40444000440.

It is a congruent number.

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, 260929 + ... + 385968.

Almost surely, 240444000440 is an apocalyptic number.

40444000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444000440 is an abundant number, since it is smaller than the sum of its proper divisors (81121071720).

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

40444000440 is a wasteful number, since it uses less digits than its factorization.

40444000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647432 (or 647428 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40444000440 its reverse (4400044404), we get a palindrome (44844044844).

The spelling of 40444000440 in words is "forty billion, four hundred forty-four million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 521 1042 1563 2084 2605 3126 4168 5210 6252 7815 10420 12504 15630 20840 31260 62520 646897 1293794 1940691 2587588 3234485 3881382 5175176 6468970 7762764 9703455 12937940 15525528 19406910 25875880 38813820 77627640 337033337 674066674 1011100011 1348133348 1685166685 2022200022 2696266696 3370333370 4044400044 5055500055 6740666740 8088800088 10111000110 13481333480 20222000220 40444000440