240420112400 has 60 divisors (see below), whose sum is σ = 622040819652. Its totient is φ = 88770501120.

The previous prime is 240420112369. The next prime is 240420112411. The reversal of 240420112400 is 4211024042.

240420112400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10852638976 + 229567473424 = 104176^2 + 479132^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23112119 + ... + 23122518.

Almost surely, 2^240420112400 is an apocalyptic number.

240420112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240420112400 is an abundant number, since it is smaller than the sum of its proper divisors (381620707252).

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

240420112400 is a wasteful number, since it uses less digits than its factorization.

240420112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46234668 (or 46234657 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 240420112400 its reverse (4211024042), we get a palindrome (244631136442).

The spelling of 240420112400 in words is "two hundred forty billion, four hundred twenty million, one hundred twelve thousand, four hundred".