1057004009472 has 96 divisors (see below), whose sum is σ = 2940510867840. Its totient is φ = 337015726080.

The previous prime is 1057004009471. The next prime is 1057004009483. The reversal of 1057004009472 is 2749004007501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1057004009472² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057004009472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057004009471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3598654 + ... + 3881277.

It is an arithmetic number, because the mean of its divisors is an integer number (30630321540).

Almost surely, 2^{1057004009472} is an apocalyptic number.

1057004009472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057004009472 is an abundant number, since it is smaller than the sum of its proper divisors (1883506858368).

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

1057004009472 is an equidigital number, since it uses as much as digits as its factorization.

1057004009472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7479979 (or 7479959 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 1057004009472 in words is "one trillion, fifty-seven billion, four million, nine thousand, four hundred seventy-two".