42518880 has 72 divisors (see below), whose sum is σ = 145100592. Its totient is φ = 11337984.

The previous prime is 42518869. The next prime is 42518933. The reversal of 42518880 is 8881524.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13324 + ... + 16203.

It is an arithmetic number, because the mean of its divisors is an integer number (2015286).

Almost surely, 2^42518880 is an apocalyptic number.

42518880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42518880 is an abundant number, since it is smaller than the sum of its proper divisors (102581712).

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

42518880 is a wasteful number, since it uses less digits than its factorization.

42518880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29548 (or 29537 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 42518880 is about 6520.6502743208. The cubic root of 42518880 is about 349.0282706031.

It can be divided in two parts, 4251 and 8880, that added together give a palindrome (13131).

The spelling of 42518880 in words is "forty-two million, five hundred eighteen thousand, eight hundred eighty".