42642432 has 132 divisors (see below), whose sum is σ = 140931856. Its totient is φ = 12165120.

The previous prime is 42642401. The next prime is 42642473. The reversal of 42642432 is 23424624.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42642396 and 42642405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64182 + ... + 64842.

Almost surely, 2^42642432 is an apocalyptic number.

42642432 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 42642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70465928).

42642432 is an abundant number, since it is smaller than the sum of its proper divisors (98289424).

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

42642432 is a wasteful number, since it uses less digits than its factorization.

42642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 42642432 is about 6530.1173036937. The cubic root of 42642432 is about 349.3660142039.

The spelling of 42642432 in words is "forty-two million, six hundred forty-two thousand, four hundred thirty-two".