240241426560 has 384 divisors, whose sum is σ = 853084964160. Its totient is φ = 62264401920.

The previous prime is 240241426553. The next prime is 240241426597. The reversal of 240241426560 is 65624142042.

240241426560 is a `hidden beast` number, since 2 + 40 + 24 + 14 + 26 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 52258182 + ... + 52262778.

Almost surely, 2^240241426560 is an apocalyptic number.

240241426560 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 240241426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426542482080).

240241426560 is an abundant number, since it is smaller than the sum of its proper divisors (612843537600).

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

240241426560 is a wasteful number, since it uses less digits than its factorization.

240241426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 240241426560 in words is "two hundred forty billion, two hundred forty-one million, four hundred twenty-six thousand, five hundred sixty".