240138805680 has 160 divisors (see below), whose sum is σ = 830365156800. Its totient is φ = 63787696128.

The previous prime is 240138805679. The next prime is 240138805769. The reversal of 240138805680 is 86508831042.

240138805680 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 3 + 8 + 80 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 338826 + ... + 771414.

It is an arithmetic number, because the mean of its divisors is an integer number (5189782230).

Almost surely, 2^240138805680 is an apocalyptic number.

240138805680 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 240138805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415182578400).

240138805680 is an abundant number, since it is smaller than the sum of its proper divisors (590226351120).

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

240138805680 is a wasteful number, since it uses less digits than its factorization.

240138805680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432868 (or 432856 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 240138805680 in words is "two hundred forty billion, one hundred thirty-eight million, eight hundred five thousand, six hundred eighty".