240280321163904 has 384 divisors, whose sum is σ = 809552215704960. Its totient is φ = 66971197440000.

The previous prime is 240280321163899. The next prime is 240280321164049. The reversal of 240280321163904 is 409361123082042.

240280321163904 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 8 + 0 + 3 + 2 + 1 + 1 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 240280321163904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4883622504 + ... + 4883671704.

It is an arithmetic number, because the mean of its divisors is an integer number (2108208895065).

Almost surely, 2^{240280321163904} is an apocalyptic number.

240280321163904 is a gapful number since it is divisible by the number (24) 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 240280321163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404776107852480).

240280321163904 is an abundant number, since it is smaller than the sum of its proper divisors (569271894541056).

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

240280321163904 is a wasteful number, since it uses less digits than its factorization.

240280321163904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64040 (or 64025 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 240280321163904 in words is "two hundred forty trillion, two hundred eighty billion, three hundred twenty-one million, one hundred sixty-three thousand, nine hundred four".