142406940856320 has 2496 divisors, whose sum is σ = 597768588578304. Its totient is φ = 30678397747200.

The previous prime is 142406940856259. The next prime is 142406940856337. The reversal of 142406940856320 is 23658049604241.

142406940856320 is a `hidden beast` number, since 1 + 42 + 406 + 9 + 40 + 85 + 63 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 355129528120 + ... + 355129528520.

It is an arithmetic number, because the mean of its divisors is an integer number (239490620424).

Almost surely, 2^{142406940856320} is an apocalyptic number.

142406940856320 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 142406940856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298884294289152).

142406940856320 is an abundant number, since it is smaller than the sum of its proper divisors (455361647721984).

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

142406940856320 is a wasteful number, since it uses less digits than its factorization.

142406940856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 142406940856320 in words is "one hundred forty-two trillion, four hundred six billion, nine hundred forty million, eight hundred fifty-six thousand, three hundred twenty".