42314976000 has 1296 divisors, whose sum is σ = 180044006688. Its totient is φ = 9455616000.

The previous prime is 42314975947. The next prime is 42314976049. The reversal of 42314976000 is 67941324.

42314976000 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 49 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1143647982 + ... + 1143648018.

Almost surely, 2^42314976000 is an apocalyptic number.

42314976000 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 42314976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90022003344).

42314976000 is an abundant number, since it is smaller than the sum of its proper divisors (137729030688).

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

42314976000 is a wasteful number, since it uses less digits than its factorization.

42314976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 42314976000 in words is "forty-two billion, three hundred fourteen million, nine hundred seventy-six thousand".