240120232400 has 60 divisors (see below), whose sum is σ = 578942114604. Its totient is φ = 95706240000.

The previous prime is 240120232399. The next prime is 240120232409. The reversal of 240120232400 is 4232021042.

It can be written as a sum of positive squares in 6 ways, for example, as 4386677824 + 235733554576 = 66232^2 + 485524^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240120232409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955751 + ... + 1180550.

Almost surely, 2^240120232400 is an apocalyptic number.

240120232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240120232400 is an abundant number, since it is smaller than the sum of its proper divisors (338821882204).

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

240120232400 is a wasteful number, since it uses less digits than its factorization.

240120232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136600 (or 2136589 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 240120232400 its reverse (4232021042), we get a palindrome (244352253442).

The spelling of 240120232400 in words is "two hundred forty billion, one hundred twenty million, two hundred thirty-two thousand, four hundred".