240375557556640 has 432 divisors, whose sum is σ = 676594566758376. Its totient is φ = 80570642042880.

The previous prime is 240375557556619. The next prime is 240375557556709. The reversal of 240375557556640 is 46655755573042.

240375557556640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 228181689107856 + 12193868448784 = 15105684^2 + 3491972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258126742 + ... + 259056298.

Almost surely, 2^{240375557556640} is an apocalyptic number.

240375557556640 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 240375557556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338297283379188).

240375557556640 is an abundant number, since it is smaller than the sum of its proper divisors (436219009201736).

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

240375557556640 is a wasteful number, since it uses less digits than its factorization.

240375557556640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929669 (or 929631 counting only the distinct ones).

The product of its (nonzero) digits is 529200000, while the sum is 64.

The spelling of 240375557556640 in words is "two hundred forty trillion, three hundred seventy-five billion, five hundred fifty-seven million, five hundred fifty-six thousand, six hundred forty".