42114032 has 80 divisors (see below), whose sum is σ = 94413600. Its totient is φ = 18063360.

The previous prime is 42114019. The next prime is 42114041. The reversal of 42114032 is 23041124.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 42114032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149732 + ... + 150012.

It is an arithmetic number, because the mean of its divisors is an integer number (1180170).

Almost surely, 2^42114032 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 42114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47206800).

42114032 is an abundant number, since it is smaller than the sum of its proper divisors (52299568).

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

42114032 is a wasteful number, since it uses less digits than its factorization.

42114032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42114032 is about 6489.5324947179. The cubic root of 42114032 is about 347.9169661409.

Adding to 42114032 its reverse (23041124), we get a palindrome (65155156).

The spelling of 42114032 in words is "forty-two million, one hundred fourteen thousand, thirty-two".