42144192 has 112 divisors (see below), whose sum is σ = 128320800. Its totient is φ = 13563648.

The previous prime is 42144161. The next prime is 42144217. The reversal of 42144192 is 29144124.

It is a happy number.

The cubic root of 42144192 is 348.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×42144192² = 3552265838665728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 1453234 + ... + 1453262.

Almost surely, 2^42144192 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 42144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64160400).

42144192 is an abundant number, since it is smaller than the sum of its proper divisors (86176608).

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

42144192 is an frugal number, since it uses more digits than its factorization.

42144192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 34 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42144192 is about 6491.8558209498.

Multiplying 42144192 by its sum of digits (27), we get a cube (1137893184 = 1044³).

42144192 divided by its sum of digits (27) gives a cube (1560896 = 116³).

The spelling of 42144192 in words is "forty-two million, one hundred forty-four thousand, one hundred ninety-two".