1055264440320 has 512 divisors, whose sum is σ = 3779534520000. Its totient is φ = 279340646400.

The previous prime is 1055264440261. The next prime is 1055264440337. The reversal of 1055264440320 is 230444625501.

1055264440320 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 644 + 4 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×1055264440320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659127520 + ... + 659129120.

Almost surely, 2^{1055264440320} is an apocalyptic number.

1055264440320 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 1055264440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889767260000).

1055264440320 is an abundant number, since it is smaller than the sum of its proper divisors (2724270079680).

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

1055264440320 is an equidigital number, since it uses as much as digits as its factorization.

1055264440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 1055264440320 in words is "one trillion, fifty-five billion, two hundred sixty-four million, four hundred forty thousand, three hundred twenty".