42170331972132 has 480 divisors, whose sum is σ = 144158096839680. Its totient is φ = 10437998826240.

The previous prime is 42170331972103. The next prime is 42170331972233. The reversal of 42170331972132 is 23127913307124.

42170331972132 is a `hidden beast` number, since 4 + 2 + 17 + 0 + 331 + 97 + 213 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59589207 + ... + 60292737.

It is an arithmetic number, because the mean of its divisors is an integer number (300329368416).

Almost surely, 2^{42170331972132} is an apocalyptic number.

42170331972132 is a gapful number since it is divisible by the number (42) 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 42170331972132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72079048419840).

42170331972132 is an abundant number, since it is smaller than the sum of its proper divisors (101987764867548).

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

42170331972132 is a wasteful number, since it uses less digits than its factorization.

42170331972132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703693 (or 703682 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 42170331972132 in words is "forty-two trillion, one hundred seventy billion, three hundred thirty-one million, nine hundred seventy-two thousand, one hundred thirty-two".