42392998676160 has 3584 divisors, whose sum is σ = 186794275737600. Its totient is φ = 8992456704000.

The previous prime is 42392998676129. The next prime is 42392998676173. The reversal of 42392998676160 is 6167689929324.

42392998676160 is a `hidden beast` number, since 4 + 2 + 39 + 299 + 86 + 76 + 160 = 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 511 ways as a sum of consecutive naturals, for example, 375159280264 + ... + 375159280376.

Almost surely, 2^{42392998676160} is an apocalyptic number.

42392998676160 is a gapful number since it is divisible by the number (40) 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 42392998676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93397137868800).

42392998676160 is an abundant number, since it is smaller than the sum of its proper divisors (144401277061440).

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

42392998676160 is a wasteful number, since it uses less digits than its factorization.

42392998676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 42392998676160 in words is "forty-two trillion, three hundred ninety-two billion, nine hundred ninety-eight million, six hundred seventy-six thousand, one hundred sixty".