240053005002400 has 72 divisors (see below), whose sum is σ = 594057198585564. Its totient is φ = 94705843046400.

The previous prime is 240053005002379. The next prime is 240053005002407. The reversal of 240053005002400 is 4200500350042.

It can be written as a sum of positive squares in 6 ways, for example, as 40355069374096 + 199697935628304 = 6352564^2 + 14131452^2 .

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

It is not an unprimeable number, because it can be changed into a prime (240053005002407) 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, 2055189931 + ... + 2055306730.

Almost surely, 2^{240053005002400} is an apocalyptic number.

240053005002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240053005002400 is an abundant number, since it is smaller than the sum of its proper divisors (354004193583164).

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

240053005002400 is a wasteful number, since it uses less digits than its factorization.

240053005002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110496754 (or 4110496741 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 240053005002400 its reverse (4200500350042), we get a palindrome (244253505352442).

The spelling of 240053005002400 in words is "two hundred forty trillion, fifty-three billion, five million, two thousand, four hundred".