42047840016 has 900 divisors, whose sum is σ = 160506625356. Its totient is φ = 10529326080.

The previous prime is 42047839997. The next prime is 42047840063. The reversal of 42047840016 is 61004874024.

42047840016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17636902416 + 24410937600 = 132804^2 + 156240^2 .

It is a super-2 number, since 2×42047840016² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 793355446 + ... + 793355498.

Almost surely, 2^42047840016 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 42047840016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80253312678).

42047840016 is an abundant number, since it is smaller than the sum of its proper divisors (118458785340).

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

42047840016 is a wasteful number, since it uses less digits than its factorization.

42047840016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 42047840016 in words is "forty-two billion, forty-seven million, eight hundred forty thousand, sixteen".