240240342400 has 96 divisors (see below), whose sum is σ = 594711489600. Its totient is φ = 95894906880.

The previous prime is 240240342389. The next prime is 240240342439. The reversal of 240240342400 is 4243042042.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1454434 + ... + 1611166.

It is an arithmetic number, because the mean of its divisors is an integer number (6194911350).

Almost surely, 2^240240342400 is an apocalyptic number.

240240342400 is a gapful number since it is divisible by the number (20) 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 240240342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297355744800).

240240342400 is an abundant number, since it is smaller than the sum of its proper divisors (354471147200).

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

240240342400 is a wasteful number, since it uses less digits than its factorization.

240240342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157236 (or 157219 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 240240342400 its reverse (4243042042), we get a palindrome (244483384442).

The spelling of 240240342400 in words is "two hundred forty billion, two hundred forty million, three hundred forty-two thousand, four hundred".