240269068804896 has 144 divisors (see below), whose sum is σ = 684653188564800. Its totient is φ = 79927011884544.

The previous prime is 240269068804889. The next prime is 240269068804943. The reversal of 240269068804896 is 698408860962042.

240269068804896 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 6 + 9 + 0 + 68 + 80 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2629668205 + ... + 2629759571.

It is an arithmetic number, because the mean of its divisors is an integer number (4754536031700).

Almost surely, 2^{240269068804896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240269068804896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342326594282400).

240269068804896 is an abundant number, since it is smaller than the sum of its proper divisors (444384119759904).

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

240269068804896 is a wasteful number, since it uses less digits than its factorization.

240269068804896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109831 (or 109820 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 240269068804896 in words is "two hundred forty trillion, two hundred sixty-nine billion, sixty-eight million, eight hundred four thousand, eight hundred ninety-six".