1057441996800 has 1344 divisors, whose sum is σ = 4703960355840. Its totient is φ = 227341762560.

The previous prime is 1057441996771. The next prime is 1057441996811. The reversal of 1057441996800 is 86991447501.

1057441996800 is a `hidden beast` number, since 1 + 0 + 57 + 441 + 99 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1057441996800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 658021597 + ... + 658023203.

Almost surely, 2^{1057441996800} is an apocalyptic number.

1057441996800 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 1057441996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351980177920).

1057441996800 is an abundant number, since it is smaller than the sum of its proper divisors (3646518359040).

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

1057441996800 is a wasteful number, since it uses less digits than its factorization.

1057441996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1057441996800 in words is "one trillion, fifty-seven billion, four hundred forty-one million, nine hundred ninety-six thousand, eight hundred".