42290705664 has 144 divisors (see below), whose sum is σ = 125860853440. Its totient is φ = 14006753280.

The previous prime is 42290705627. The next prime is 42290705683. The reversal of 42290705664 is 46650709224.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 1065699 + ... + 1104669.

Almost surely, 2^42290705664 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 42290705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62930426720).

42290705664 is an abundant number, since it is smaller than the sum of its proper divisors (83570147776).

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

42290705664 is a wasteful number, since it uses less digits than its factorization.

42290705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39153 (or 39133 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 42290705664 in words is "forty-two billion, two hundred ninety million, seven hundred five thousand, six hundred sixty-four".