240876680128 has 448 divisors, whose sum is σ = 613774540800. Its totient is φ = 91530362880.

The previous prime is 240876680117. The next prime is 240876680153. The reversal of 240876680128 is 821086678042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1051863118 + ... + 1051863346.

Almost surely, 2^240876680128 is an apocalyptic number.

240876680128 is a gapful number since it is divisible by the number (28) 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 240876680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306887270400).

240876680128 is an abundant number, since it is smaller than the sum of its proper divisors (372897860672).

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

240876680128 is a wasteful number, since it uses less digits than its factorization.

240876680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 240876680128 in words is "two hundred forty billion, eight hundred seventy-six million, six hundred eighty thousand, one hundred twenty-eight".