42403085136 has 240 divisors, whose sum is σ = 126726412800. Its totient is φ = 13211735040.

The previous prime is 42403085117. The next prime is 42403085143. The reversal of 42403085136 is 63158030424.

42403085136 is a `hidden beast` number, since 42 + 403 + 0 + 85 + 136 = 666.

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 42403085136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24609171 + ... + 24610893.

It is an arithmetic number, because the mean of its divisors is an integer number (528026720).

Almost surely, 2^42403085136 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 42403085136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63363206400).

42403085136 is an abundant number, since it is smaller than the sum of its proper divisors (84323327664).

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

42403085136 is a wasteful number, since it uses less digits than its factorization.

42403085136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1945 counting only the distinct ones).

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

The spelling of 42403085136 in words is "forty-two billion, four hundred three million, eighty-five thousand, one hundred thirty-six".