42360496128 has 140 divisors (see below), whose sum is σ = 126552777120. Its totient is φ = 14119944192.

The previous prime is 42360496117. The next prime is 42360496133. The reversal of 42360496128 is 82169406324.

42360496128 is a `hidden beast` number, since 4 + 2 + 36 + 0 + 496 + 128 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 631633 + ... + 695471.

It is an arithmetic number, because the mean of its divisors is an integer number (903948408).

Almost surely, 2^42360496128 is an apocalyptic number.

42360496128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42360496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63276388560).

42360496128 is an abundant number, since it is smaller than the sum of its proper divisors (84192280992).

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

42360496128 is an frugal number, since it uses more digits than its factorization.

42360496128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63877 (or 63844 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 42360496128 in words is "forty-two billion, three hundred sixty million, four hundred ninety-six thousand, one hundred twenty-eight".