218337656400240 has 160 divisors (see below), whose sum is σ = 729209773587456. Its totient is φ = 53722688517120.

The previous prime is 218337656400211. The next prime is 218337656400359. The reversal of 218337656400240 is 42004656733812.

218337656400240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 6664506 + ... + 21933785.

Almost surely, 2^{218337656400240} is an apocalyptic number.

218337656400240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218337656400240 is an abundant number, since it is smaller than the sum of its proper divisors (510872117187216).

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

218337656400240 is a wasteful number, since it uses less digits than its factorization.

218337656400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28600767 (or 28600761 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 218337656400240 in words is "two hundred eighteen trillion, three hundred thirty-seven billion, six hundred fifty-six million, four hundred thousand, two hundred forty".