42326956800 has 324 divisors, whose sum is σ = 155028009864. Its totient is φ = 11011276800.

The previous prime is 42326956799. The next prime is 42326956829. The reversal of 42326956800 is 865962324.

42326956800 is a `hidden beast` number, since 4 + 23 + 2 + 69 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2352639 + ... + 2370561.

Almost surely, 2^42326956800 is an apocalyptic number.

42326956800 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 42326956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77514004932).

42326956800 is an abundant number, since it is smaller than the sum of its proper divisors (112701053064).

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

42326956800 is a wasteful number, since it uses less digits than its factorization.

42326956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17996 (or 17974 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 42326956800 in words is "forty-two billion, three hundred twenty-six million, nine hundred fifty-six thousand, eight hundred".