42005516256 has 144 divisors (see below), whose sum is σ = 130445825328. Its totient is φ = 12715929600.

The previous prime is 42005516237. The next prime is 42005516261. The reversal of 42005516256 is 65261550024.

42005516256 is a `hidden beast` number, since 4 + 20 + 0 + 5 + 5 + 1 + 625 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42005516256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3355000 + ... + 3367496.

It is an arithmetic number, because the mean of its divisors is an integer number (905873787).

Almost surely, 2^42005516256 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 42005516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65222912664).

42005516256 is an abundant number, since it is smaller than the sum of its proper divisors (88440309072).

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

42005516256 is a wasteful number, since it uses less digits than its factorization.

42005516256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13585 (or 13574 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 42005516256 in words is "forty-two billion, five million, five hundred sixteen thousand, two hundred fifty-six".