42529231872 has 352 divisors, whose sum is σ = 130735503360. Its totient is φ = 13648158720.

The previous prime is 42529231819. The next prime is 42529231909. The reversal of 42529231872 is 27813292524.

42529231872 is a `hidden beast` number, since 42 + 5 + 292 + 318 + 7 + 2 = 666.

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, 98675497 + ... + 98675927.

It is an arithmetic number, because the mean of its divisors is an integer number (371407680).

Almost surely, 2^42529231872 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 42529231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65367751680).

42529231872 is an abundant number, since it is smaller than the sum of its proper divisors (88206271488).

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

42529231872 is a wasteful number, since it uses less digits than its factorization.

42529231872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 562 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 42529231872 in words is "forty-two billion, five hundred twenty-nine million, two hundred thirty-one thousand, eight hundred seventy-two".