42132912 has 80 divisors (see below), whose sum is σ = 113326080. Its totient is φ = 13478400.

The previous prime is 42132907. The next prime is 42132913. The reversal of 42132912 is 21923124.

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

It is not an unprimeable number, because it can be changed into a prime (42132913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155337 + ... + 155607.

It is an arithmetic number, because the mean of its divisors is an integer number (1416576).

Almost surely, 2^42132912 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 42132912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56663040).

42132912 is an abundant number, since it is smaller than the sum of its proper divisors (71193168).

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

42132912 is a wasteful number, since it uses less digits than its factorization.

42132912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 42132912 is about 6490.9869819620. The cubic root of 42132912 is about 347.9689495350.

It can be divided in two parts, 421 and 32912, that added together give a palindrome (33333).

The spelling of 42132912 in words is "forty-two million, one hundred thirty-two thousand, nine hundred twelve".