42618840 has 128 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 10181120.

The previous prime is 42618799. The next prime is 42618871. The reversal of 42618840 is 4881624.

42618840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109366 + ... + 109754.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^42618840 is an apocalyptic number.

42618840 is a gapful number since it is divisible by the number (40) 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 42618840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

42618840 is an abundant number, since it is smaller than the sum of its proper divisors (98904360).

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

42618840 is a wasteful number, since it uses less digits than its factorization.

42618840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42618840 is about 6528.3106543730. The cubic root of 42618840 is about 349.3015731992.

The spelling of 42618840 in words is "forty-two million, six hundred eighteen thousand, eight hundred forty".