42404615136 has 144 divisors (see below), whose sum is σ = 130119378480. Its totient is φ = 13021931520.

The previous prime is 42404615111. The next prime is 42404615167. The reversal of 42404615136 is 63151640424.

42404615136 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 4 + 615 + 1 + 36 = 666.

42404615136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 42404615136.

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, 1939755 + ... + 1961493.

It is an arithmetic number, because the mean of its divisors is an integer number (903606795).

Almost surely, 2^42404615136 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 42404615136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65059689240).

42404615136 is an abundant number, since it is smaller than the sum of its proper divisors (87714763344).

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

42404615136 is a wasteful number, since it uses less digits than its factorization.

42404615136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22289 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42404615136 in words is "forty-two billion, four hundred four million, six hundred fifteen thousand, one hundred thirty-six".