239940813649680 has 1920 divisors, whose sum is σ = 989605341204480. Its totient is φ = 53264788807680.

The previous prime is 239940813649639. The next prime is 239940813649687. The reversal of 239940813649680 is 86946318049932.

239940813649680 is a `hidden beast` number, since 2 + 3 + 9 + 9 + 40 + 8 + 13 + 6 + 496 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 239940813649599 and 239940813649608.

It is not an unprimeable number, because it can be changed into a prime (239940813649687) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 224453520186 + ... + 224453521254.

It is an arithmetic number, because the mean of its divisors is an integer number (515419448544).

Almost surely, 2^{239940813649680} is an apocalyptic number.

239940813649680 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 239940813649680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494802670602240).

239940813649680 is an abundant number, since it is smaller than the sum of its proper divisors (749664527554800).

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

239940813649680 is a wasteful number, since it uses less digits than its factorization.

239940813649680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 239940813649680 in words is "two hundred thirty-nine trillion, nine hundred forty billion, eight hundred thirteen million, six hundred forty-nine thousand, six hundred eighty".