42112400 has 120 divisors (see below), whose sum is σ = 117072864. Its totient is φ = 14387200.

The previous prime is 42112363. The next prime is 42112403. The reversal of 42112400 is 421124.

It is not an unprimeable number, because it can be changed into a prime (42112403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74519 + ... + 75081.

Almost surely, 2^42112400 is an apocalyptic number.

42112400 is a gapful number since it is divisible by the number (40) 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 42112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58536432).

42112400 is an abundant number, since it is smaller than the sum of its proper divisors (74960464).

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

42112400 is a wasteful number, since it uses less digits than its factorization.

42112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42112400 is about 6489.4067525468. The cubic root of 42112400 is about 347.9124719316.

Adding to 42112400 its reverse (421124), we get a palindrome (42533524).

Multiplying 42112400 by its reverse (421124), we get a square (17734542337600 = 4211240²).

42112400 divided by its reverse (421124) gives a square (100 = 10²).

It can be divided in two parts, 421 and 12400, that added together give a palindrome (12821).

The spelling of 42112400 in words is "forty-two million, one hundred twelve thousand, four hundred".