240404042400 has 288 divisors, whose sum is σ = 789796199808. Its totient is φ = 63514214400.

The previous prime is 240404042399. The next prime is 240404042413. The reversal of 240404042400 is 4240404042.

240404042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 130158277 + ... + 130160123.

It is an arithmetic number, because the mean of its divisors is an integer number (2742347916).

Almost surely, 2^240404042400 is an apocalyptic number.

240404042400 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 240404042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394898099904).

240404042400 is an abundant number, since it is smaller than the sum of its proper divisors (549392157408).

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

240404042400 is a wasteful number, since it uses less digits than its factorization.

240404042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 240404042400 its reverse (4240404042), we get a palindrome (244644446442).

The spelling of 240404042400 in words is "two hundred forty billion, four hundred four million, forty-two thousand, four hundred".