42033432 has 32 divisors (see below), whose sum is σ = 120096000. Its totient is φ = 12009504.

The previous prime is 42033413. The next prime is 42033437. The reversal of 42033432 is 23433024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 42033399 and 42033408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124932 + ... + 125267.

It is an arithmetic number, because the mean of its divisors is an integer number (3753000).

Almost surely, 2^42033432 is an apocalyptic number.

42033432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42033432 is an abundant number, since it is smaller than the sum of its proper divisors (78062568).

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

42033432 is a wasteful number, since it uses less digits than its factorization.

42033432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250215 (or 250211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 42033432 is about 6483.3195201224. The cubic root of 42033432 is about 347.6948706013.

Adding to 42033432 its reverse (23433024), we get a palindrome (65466456).

The spelling of 42033432 in words is "forty-two million, thirty-three thousand, four hundred thirty-two".