42328656000 has 896 divisors, whose sum is σ = 166961433600. Its totient is φ = 10637568000.

The previous prime is 42328655987. The next prime is 42328656043. The reversal of 42328656000 is 65682324.

42328656000 is a `hidden beast` number, since 4 + 23 + 28 + 6 + 5 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 221615905 + ... + 221616095.

Almost surely, 2^42328656000 is an apocalyptic number.

42328656000 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 42328656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83480716800).

42328656000 is an abundant number, since it is smaller than the sum of its proper divisors (124632777600).

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

42328656000 is an equidigital number, since it uses as much as digits as its factorization.

42328656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42328656000 in words is "forty-two billion, three hundred twenty-eight million, six hundred fifty-six thousand".