42010656 has 48 divisors (see below), whose sum is σ = 112853664. Its totient is φ = 13676544.

The previous prime is 42010649. The next prime is 42010681. The reversal of 42010656 is 65601024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 961 + ... + 9216.

It is an arithmetic number, because the mean of its divisors is an integer number (2351118).

Almost surely, 2^42010656 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 42010656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56426832).

42010656 is an abundant number, since it is smaller than the sum of its proper divisors (70843008).

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

42010656 is a wasteful number, since it uses less digits than its factorization.

42010656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42010656 is about 6481.5627745167. The cubic root of 42010656 is about 347.6320592567.

The spelling of 42010656 in words is "forty-two million, ten thousand, six hundred fifty-six".