1053341024400 has 270 divisors, whose sum is σ = 4252184367522. Its totient is φ = 240763622400.

The previous prime is 1053341024357. The next prime is 1053341024429. The reversal of 1053341024400 is 44201433501.

It is a happy number.

1053341024400 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 410 + 244 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 245952516096 + 807388508304 = 495936^2 + 898548^2 .

It is a super-2 number, since 2×1053341024400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2809261 + ... + 3162060.

Almost surely, 2^{1053341024400} is an apocalyptic number.

1053341024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053341024400 is an abundant number, since it is smaller than the sum of its proper divisors (3198843343122).

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

1053341024400 is a wasteful number, since it uses less digits than its factorization.

1053341024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971359 (or 5971338 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1053341024400 its reverse (44201433501), we get a palindrome (1097542457901).

The spelling of 1053341024400 in words is "one trillion, fifty-three billion, three hundred forty-one million, twenty-four thousand, four hundred".