1056400038 has 48 divisors (see below), whose sum is σ = 2412446400. Its totient is φ = 333169200.

The previous prime is 1056400031. The next prime is 1056400039. The reversal of 1056400038 is 8300046501.

1056400038 is a `hidden beast` number, since 10 + 5 + 640 + 0 + 0 + 3 + 8 = 666.

It is a super-2 number, since 2×1056400038² = 2231962080572802888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056399984 and 1056400020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056400031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 357973 + ... + 360911.

It is an arithmetic number, because the mean of its divisors is an integer number (50259300).

Almost surely, 2^1056400038 is an apocalyptic number.

1056400038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1056400038 is an abundant number, since it is smaller than the sum of its proper divisors (1356046362).

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

1056400038 is a wasteful number, since it uses less digits than its factorization.

1056400038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1056400038 is about 32502.3081949575. The cubic root of 1056400038 is about 1018.4572467653.

Adding to 1056400038 its reverse (8300046501), we get a palindrome (9356446539).

The spelling of 1056400038 in words is "one billion, fifty-six million, four hundred thousand, thirty-eight".