42231636576 has 192 divisors, whose sum is σ = 128716439040. Its totient is φ = 13445752320.

The previous prime is 42231636539. The next prime is 42231636581. The reversal of 42231636576 is 67563613224.

42231636576 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 1 + 636 + 5 + 7 + 6 = 666.

It is a super-2 number, since 2×42231636576² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21083191 + ... + 21085193.

It is an arithmetic number, because the mean of its divisors is an integer number (670398120).

Almost surely, 2^42231636576 is an apocalyptic number.

42231636576 is a gapful number since it is divisible by the number (46) 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 42231636576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64358219520).

42231636576 is an abundant number, since it is smaller than the sum of its proper divisors (86484802464).

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

42231636576 is a wasteful number, since it uses less digits than its factorization.

42231636576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3092 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 42231636576 in words is "forty-two billion, two hundred thirty-one million, six hundred thirty-six thousand, five hundred seventy-six".