1057407720480 has 576 divisors, whose sum is σ = 3918593427840. Its totient is φ = 258741485568.

The previous prime is 1057407720463. The next prime is 1057407720541. The reversal of 1057407720480 is 840277047501.

1057407720480 is a `hidden beast` number, since 1 + 0 + 574 + 0 + 7 + 72 + 0 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×1057407720480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235868319 + ... + 235872801.

It is an arithmetic number, because the mean of its divisors is an integer number (6803113590).

Almost surely, 2^{1057407720480} is an apocalyptic number.

1057407720480 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 1057407720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959296713920).

1057407720480 is an abundant number, since it is smaller than the sum of its proper divisors (2861185707360).

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

1057407720480 is a wasteful number, since it uses less digits than its factorization.

1057407720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 1057407720480 in words is "one trillion, fifty-seven billion, four hundred seven million, seven hundred twenty thousand, four hundred eighty".