42971188932864 has 1296 divisors, whose sum is σ = 138887490443520. Its totient is φ = 13238419783680.

The previous prime is 42971188932851. The next prime is 42971188932887. The reversal of 42971188932864 is 46823988117924.

It is a happy number.

42971188932864 is a `hidden beast` number, since 4 + 297 + 1 + 1 + 8 + 8 + 9 + 328 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

Its product of digits (334430208) is a multiple of the sum of its prime factors (486).

It is a junction number, because it is equal to n+sod(n) for n = 42971188932792 and 42971188932801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152922380404 + ... + 152922380684.

Almost surely, 2^{42971188932864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42971188932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69443745221760).

42971188932864 is an abundant number, since it is smaller than the sum of its proper divisors (95916301510656).

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

42971188932864 is an equidigital number, since it uses as much as digits as its factorization.

42971188932864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 431 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 42971188932864 in words is "forty-two trillion, nine hundred seventy-one billion, one hundred eighty-eight million, nine hundred thirty-two thousand, eight hundred sixty-four".