240553112400 has 90 divisors (see below), whose sum is σ = 834786132830. Its totient is φ = 64147495680.

The previous prime is 240553112399. The next prime is 240553112483. The reversal of 240553112400 is 4211355042.

240553112400 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 531 + 124 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15797473344 + 224755639056 = 125688^2 + 474084^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33406555 + ... + 33413754.

Almost surely, 2^240553112400 is an apocalyptic number.

240553112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240553112400 is an abundant number, since it is smaller than the sum of its proper divisors (594233020430).

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

240553112400 is a wasteful number, since it uses less digits than its factorization.

240553112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66820333 (or 66820319 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 240553112400 its reverse (4211355042), we get a palindrome (244764467442).

The spelling of 240553112400 in words is "two hundred forty billion, five hundred fifty-three million, one hundred twelve thousand, four hundred".