1056413417472 has 384 divisors, whose sum is σ = 3499285888800. Its totient is φ = 300838551552.

The previous prime is 1056413417377. The next prime is 1056413417497. The reversal of 1056413417472 is 2747143146501.

1056413417472 is a `hidden beast` number, since 1 + 0 + 564 + 1 + 3 + 4 + 17 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1056413417472² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819559804 + ... + 819561092.

Almost surely, 2^{1056413417472} is an apocalyptic number.

1056413417472 is a gapful number since it is divisible by the number (12) 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 1056413417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749642944400).

1056413417472 is an abundant number, since it is smaller than the sum of its proper divisors (2442872471328).

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

1056413417472 is an equidigital number, since it uses as much as digits as its factorization.

1056413417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1056413417472 in words is "one trillion, fifty-six billion, four hundred thirteen million, four hundred seventeen thousand, four hundred seventy-two".