42559104 has 128 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 11934720.

The previous prime is 42559093. The next prime is 42559123. The reversal of 42559104 is 40195524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42559104² = 3622554666565632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190737 + ... + 190959.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 2^42559104 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 42559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

42559104 is an abundant number, since it is smaller than the sum of its proper divisors (89045376).

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

42559104 is a wasteful number, since it uses less digits than its factorization.

42559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 42559104 is about 6523.7339001526. The cubic root of 42559104 is about 349.1382992797.

The spelling of 42559104 in words is "forty-two million, five hundred fifty-nine thousand, one hundred four".