240144100400 has 30 divisors (see below), whose sum is σ = 576946202172. Its totient is φ = 96057640000.

The previous prime is 240144100397. The next prime is 240144100411. The reversal of 240144100400 is 4001441042.

It is a happy number.

240144100400 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 (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 5 ways as a sum of consecutive naturals, for example, 300179726 + ... + 300180525.

Almost surely, 2^240144100400 is an apocalyptic number.

240144100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240144100400 is an abundant number, since it is smaller than the sum of its proper divisors (336802101772).

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

240144100400 is a wasteful number, since it uses less digits than its factorization.

240144100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600360269 (or 600360258 counting only the distinct ones).

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

Adding to 240144100400 its reverse (4001441042), we get a palindrome (244145541442).

The spelling of 240144100400 in words is "two hundred forty billion, one hundred forty-four million, one hundred thousand, four hundred".