42108376464 has 480 divisors, whose sum is σ = 150641786880. Its totient is φ = 10663833600.

The previous prime is 42108376459. The next prime is 42108376483. The reversal of 42108376464 is 46467380124.

42108376464 is a `hidden beast` number, since 4 + 210 + 8 + 376 + 4 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124950504 + ... + 124950840.

It is an arithmetic number, because the mean of its divisors is an integer number (313837056).

Almost surely, 2^42108376464 is an apocalyptic number.

42108376464 is a gapful number since it is divisible by the number (44) 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 42108376464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75320893440).

42108376464 is an abundant number, since it is smaller than the sum of its proper divisors (108533410416).

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

42108376464 is a wasteful number, since it uses less digits than its factorization.

42108376464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 42108376464 in words is "forty-two billion, one hundred eight million, three hundred seventy-six thousand, four hundred sixty-four".