42134737632 has 96 divisors (see below), whose sum is σ = 119183178240. Its totient is φ = 12956751360.

The previous prime is 42134737577. The next prime is 42134737637. The reversal of 42134737632 is 23673743124.

42134737632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42134737632² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134737637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275869 + ... + 2294307.

It is an arithmetic number, because the mean of its divisors is an integer number (1241491440).

Almost surely, 2^42134737632 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 42134737632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59591589120).

42134737632 is an abundant number, since it is smaller than the sum of its proper divisors (77048440608).

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

42134737632 is a wasteful number, since it uses less digits than its factorization.

42134737632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20296 (or 20288 counting only the distinct ones).

The product of its digits is 508032, while the sum is 42.

The spelling of 42134737632 in words is "forty-two billion, one hundred thirty-four million, seven hundred thirty-seven thousand, six hundred thirty-two".