42013488 has 80 divisors (see below), whose sum is σ = 120992256. Its totient is φ = 12453120.

The previous prime is 42013483. The next prime is 42013501. The reversal of 42013488 is 88431024.

It is a super-2 number, since 2×42013488² = 3530266347852288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42013481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23970 + ... + 25662.

Almost surely, 2^42013488 is an apocalyptic number.

42013488 is a gapful number since it is divisible by the number (48) 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 42013488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60496128).

42013488 is an abundant number, since it is smaller than the sum of its proper divisors (78978768).

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

42013488 is a wasteful number, since it uses less digits than its factorization.

42013488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42013488 is about 6481.7812366664. The cubic root of 42013488 is about 347.6398705437.

The spelling of 42013488 in words is "forty-two million, thirteen thousand, four hundred eighty-eight".