240850894401408 has 256 divisors, whose sum is σ = 703954870272000. Its totient is φ = 72672977295360.

The previous prime is 240850894401343. The next prime is 240850894401413. The reversal of 240850894401408 is 804104498058042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 11128141 + ... + 24607667.

It is an arithmetic number, because the mean of its divisors is an integer number (2749823712000).

Almost surely, 2^{240850894401408} 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 240850894401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351977435136000).

240850894401408 is an abundant number, since it is smaller than the sum of its proper divisors (463103975870592).

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

240850894401408 is a wasteful number, since it uses less digits than its factorization.

240850894401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13479673 (or 13479661 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 57.

The spelling of 240850894401408 in words is "two hundred forty trillion, eight hundred fifty billion, eight hundred ninety-four million, four hundred one thousand, four hundred eight".