42576144 has 120 divisors (see below), whose sum is σ = 124117056. Its totient is φ = 12499200.

The previous prime is 42576139. The next prime is 42576167. The reversal of 42576144 is 44167524.

Its product of digits (26880) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599629 + ... + 599699.

Almost surely, 2^42576144 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 42576144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62058528).

42576144 is an abundant number, since it is smaller than the sum of its proper divisors (81540912).

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

42576144 is a wasteful number, since it uses less digits than its factorization.

42576144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 42576144 is about 6525.0397699937. The cubic root of 42576144 is about 349.1848895682.

It can be divided in two parts, 4257 and 6144, that added together give a palindrome (10401).

The spelling of 42576144 in words is "forty-two million, five hundred seventy-six thousand, one hundred forty-four".