42133632 has 64 divisors (see below), whose sum is σ = 113024160. Its totient is φ = 13905920.

The previous prime is 42133627. The next prime is 42133643. The reversal of 42133632 is 23633124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42133632² = 3550485891022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42907 + ... + 43877.

Almost surely, 2^42133632 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 42133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56512080).

42133632 is an abundant number, since it is smaller than the sum of its proper divisors (70890528).

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

42133632 is a wasteful number, since it uses less digits than its factorization.

42133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1089 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 42133632 is about 6491.0424432444. The cubic root of 42133632 is about 347.9709316452.

Adding to 42133632 its reverse (23633124), we get a palindrome (65766756).

The spelling of 42133632 in words is "forty-two million, one hundred thirty-three thousand, six hundred thirty-two".