42080288 has 48 divisors (see below), whose sum is σ = 88593120. Its totient is φ = 19616256.

The previous prime is 42080281. The next prime is 42080303. The reversal of 42080288 is 88208024.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42080281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40220 + ... + 41252.

It is an arithmetic number, because the mean of its divisors is an integer number (1845690).

Almost surely, 2^42080288 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 42080288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44296560).

42080288 is an abundant number, since it is smaller than the sum of its proper divisors (46512832).

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

42080288 is a wasteful number, since it uses less digits than its factorization.

42080288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 42080288 is about 6486.9320946037. The cubic root of 42080288 is about 347.8240181254.

It can be divided in two parts, 420 and 80288, that added together give a palindrome (80708).

The spelling of 42080288 in words is "forty-two million, eighty thousand, two hundred eighty-eight".