240053726756480 has 256 divisors, whose sum is σ = 723539054165760. Its totient is φ = 74120045690880.

The previous prime is 240053726756479. The next prime is 240053726756533. The reversal of 240053726756480 is 84657627350042.

240053726756480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240053726756480² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47878034 + ... + 52653713.

It is an arithmetic number, because the mean of its divisors is an integer number (2826324430335).

Almost surely, 2^{240053726756480} is an apocalyptic number.

240053726756480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240053726756480 is an abundant number, since it is smaller than the sum of its proper divisors (483485327409280).

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

240053726756480 is a wasteful number, since it uses less digits than its factorization.

240053726756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100531827 (or 100531815 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 59.

The spelling of 240053726756480 in words is "two hundred forty trillion, fifty-three billion, seven hundred twenty-six million, seven hundred fifty-six thousand, four hundred eighty".