1053440017920 has 400 divisors, whose sum is σ = 3791128678128. Its totient is φ = 279574364160.

The previous prime is 1053440017913. The next prime is 1053440017961. The reversal of 1053440017920 is 297100443501.

1053440017920 is a `hidden beast` number, since 10 + 53 + 4 + 400 + 179 + 20 = 666.

It is a super-2 number, since 2×1053440017920² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43740922 + ... + 43764998.

Almost surely, 2^{1053440017920} is an apocalyptic number.

1053440017920 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 1053440017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895564339064).

1053440017920 is an abundant number, since it is smaller than the sum of its proper divisors (2737688660208).

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

1053440017920 is an equidigital number, since it uses as much as digits as its factorization.

1053440017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24323 (or 24298 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1053440017920 in words is "one trillion, fifty-three billion, four hundred forty million, seventeen thousand, nine hundred twenty".