1057411948320 has 864 divisors, whose sum is σ = 4616803795968. Its totient is φ = 218346541056.

The previous prime is 1057411948277. The next prime is 1057411948339. The reversal of 1057411948320 is 238491147501.

1057411948320 is a `hidden beast` number, since 1 + 0 + 57 + 4 + 119 + 483 + 2 + 0 = 666.

It is a super-2 number, since 2×1057411948320² (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 143 ways as a sum of consecutive naturals, for example, 43099897 + ... + 43124423.

It is an arithmetic number, because the mean of its divisors is an integer number (5343522912).

Almost surely, 2^{1057411948320} is an apocalyptic number.

1057411948320 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 1057411948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308401897984).

1057411948320 is an abundant number, since it is smaller than the sum of its proper divisors (3559391847648).

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

1057411948320 is a wasteful number, since it uses less digits than its factorization.

1057411948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24622 (or 24604 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1057411948320 in words is "one trillion, fifty-seven billion, four hundred eleven million, nine hundred forty-eight thousand, three hundred twenty".