1056431035040 has 48 divisors (see below), whose sum is σ = 2495912952960. Its totient is φ = 422556391680.

The previous prime is 1056431035031. The next prime is 1056431035061. The reversal of 1056431035040 is 405301346501.

It is a super-2 number, since 2×1056431035040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1056431034988 and 1056431035006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4683245 + ... + 4903635.

It is an arithmetic number, because the mean of its divisors is an integer number (51998186520).

Almost surely, 2^{1056431035040} is an apocalyptic number.

1056431035040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056431035040 is an abundant number, since it is smaller than the sum of its proper divisors (1439481917920).

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

1056431035040 is a wasteful number, since it uses less digits than its factorization.

1056431035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250365 (or 250357 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 1056431035040 in words is "one trillion, fifty-six billion, four hundred thirty-one million, thirty-five thousand, forty".