1056415048000 has 448 divisors, whose sum is σ = 2999568499200. Its totient is φ = 365318553600.

The previous prime is 1056415047967. The next prime is 1056415048021. The reversal of 1056415048000 is 8405146501.

It is a super-2 number, since 2×1056415048000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175860997 + ... + 175867003.

It is an arithmetic number, because the mean of its divisors is an integer number (6695465400).

Almost surely, 2^{1056415048000} is an apocalyptic number.

1056415048000 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 1056415048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499784249600).

1056415048000 is an abundant number, since it is smaller than the sum of its proper divisors (1943153451200).

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

1056415048000 is a wasteful number, since it uses less digits than its factorization.

1056415048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 1056415048000 in words is "one trillion, fifty-six billion, four hundred fifteen million, forty-eight thousand".