239941381680 has 1600 divisors, whose sum is σ = 1136843237376. Its totient is φ = 45287424000.

The previous prime is 239941381679. The next prime is 239941381727. The reversal of 239941381680 is 86183149932.

239941381680 is a `hidden beast` number, since 2 + 3 + 99 + 413 + 81 + 68 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 460539820 + ... + 460540340.

Almost surely, 2^239941381680 is an apocalyptic number.

239941381680 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 239941381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568421618688).

239941381680 is an abundant number, since it is smaller than the sum of its proper divisors (896901855696).

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

239941381680 is a wasteful number, since it uses less digits than its factorization.

239941381680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 239941381680 in words is "two hundred thirty-nine billion, nine hundred forty-one million, three hundred eighty-one thousand, six hundred eighty".