42294792960 has 648 divisors, whose sum is σ = 175790998656. Its totient is φ = 9351659520.

The previous prime is 42294792959. The next prime is 42294792961. The reversal of 42294792960 is 6929749224.

42294792960 is a `hidden beast` number, since 422 + 9 + 47 + 92 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42294792959) and next prime (42294792961).

It is a junction number, because it is equal to n+sod(n) for n = 42294792897 and 42294792906.

It is not an unprimeable number, because it can be changed into a prime (42294792961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17497672 + ... + 17500088.

Almost surely, 2^42294792960 is an apocalyptic number.

42294792960 is a gapful number since it is divisible by the number (40) 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 42294792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87895499328).

42294792960 is an abundant number, since it is smaller than the sum of its proper divisors (133496205696).

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

42294792960 is a wasteful number, since it uses less digits than its factorization.

42294792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 42294792960 in words is "forty-two billion, two hundred ninety-four million, seven hundred ninety-two thousand, nine hundred sixty".