1056257482240 has 160 divisors (see below), whose sum is σ = 2604602160864. Its totient is φ = 410513080320.

The previous prime is 1056257482177. The next prime is 1056257482243. The reversal of 1056257482240 is 422847526501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1056257482240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056257482243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71695675 + ... + 71710405.

Almost surely, 2^{1056257482240} is an apocalyptic number.

1056257482240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056257482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302301080432).

1056257482240 is an abundant number, since it is smaller than the sum of its proper divisors (1548344678624).

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

1056257482240 is an equidigital number, since it uses as much as digits as its factorization.

1056257482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15548 (or 15532 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 1056257482240 in words is "one trillion, fifty-six billion, two hundred fifty-seven million, four hundred eighty-two thousand, two hundred forty".