1056455461640 has 128 divisors (see below), whose sum is σ = 2601536901120. Its totient is φ = 384376320000.

The previous prime is 1056455461639. The next prime is 1056455461667. The reversal of 1056455461640 is 461645546501.

It is a super-2 number, since 2×1056455461640² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15797714 + ... + 15864446.

It is an arithmetic number, because the mean of its divisors is an integer number (20324507040).

Almost surely, 2^{1056455461640} is an apocalyptic number.

1056455461640 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 1056455461640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300768450560).

1056455461640 is an abundant number, since it is smaller than the sum of its proper divisors (1545081439480).

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

1056455461640 is a wasteful number, since it uses less digits than its factorization.

1056455461640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67543 (or 67539 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 1056455461640 in words is "one trillion, fifty-six billion, four hundred fifty-five million, four hundred sixty-one thousand, six hundred forty".