42775088832 has 252 divisors, whose sum is σ = 148853763760. Its totient is φ = 11502231552.

The previous prime is 42775088819. The next prime is 42775088857. The reversal of 42775088832 is 23888057724.

42775088832 is a `hidden beast` number, since 4 + 27 + 7 + 508 + 88 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×42775088832² (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 35 ways as a sum of consecutive naturals, for example, 1146894 + ... + 1183602.

Almost surely, 2^42775088832 is an apocalyptic number.

42775088832 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 42775088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74426881880).

42775088832 is an abundant number, since it is smaller than the sum of its proper divisors (106078674928).

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

42775088832 is a wasteful number, since it uses less digits than its factorization.

42775088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36768 (or 36738 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 42775088832 in words is "forty-two billion, seven hundred seventy-five million, eighty-eight thousand, eight hundred thirty-two".