142338940968960 has 672 divisors, whose sum is σ = 512070078199680. Its totient is φ = 37928568619008.

The previous prime is 142338940968881. The next prime is 142338940968971. The reversal of 142338940968960 is 69869049833241.

142338940968960 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 3 + 89 + 409 + 6 + 89 + 60 = 666.

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

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, 15517158934 + ... + 15517168106.

It is an arithmetic number, because the mean of its divisors is an integer number (762009044940).

Almost surely, 2^{142338940968960} is an apocalyptic number.

142338940968960 is a gapful number since it is divisible by the number (10) 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 142338940968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256035039099840).

142338940968960 is an abundant number, since it is smaller than the sum of its proper divisors (369731137230720).

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

142338940968960 is an frugal number, since it uses more digits than its factorization.

142338940968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10778 (or 10742 counting only the distinct ones).

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

The spelling of 142338940968960 in words is "one hundred forty-two trillion, three hundred thirty-eight billion, nine hundred forty million, nine hundred sixty-eight thousand, nine hundred sixty".