42295405824 has 864 divisors, whose sum is σ = 155993370624. Its totient is φ = 11167580160.

The previous prime is 42295405813. The next prime is 42295405837. The reversal of 42295405824 is 42850459224.

42295405824 is a `hidden beast` number, since 4 + 2 + 29 + 5 + 40 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 42295405824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410634957 + ... + 410635059.

Almost surely, 2^42295405824 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 42295405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77996685312).

42295405824 is an abundant number, since it is smaller than the sum of its proper divisors (113697964800).

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

42295405824 is a wasteful number, since it uses less digits than its factorization.

42295405824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

It can be divided in two parts, 4229540 and 5824, that added together give a square (4235364 = 2058²).

The spelling of 42295405824 in words is "forty-two billion, two hundred ninety-five million, four hundred five thousand, eight hundred twenty-four".