42621676800 has 432 divisors, whose sum is σ = 146842268160. Its totient is φ = 10874880000.

The previous prime is 42621676787. The next prime is 42621676817. The reversal of 42621676800 is 867612624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60114846 + ... + 60115554.

Almost surely, 2^42621676800 is an apocalyptic number.

42621676800 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 42621676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73421134080).

42621676800 is an abundant number, since it is smaller than the sum of its proper divisors (104220591360).

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

42621676800 is a wasteful number, since it uses less digits than its factorization.

42621676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 42621676800 in words is "forty-two billion, six hundred twenty-one million, six hundred seventy-six thousand, eight hundred".