42581932800 has 324 divisors, whose sum is σ = 154474461960. Its totient is φ = 10322329600.

The previous prime is 42581932781. The next prime is 42581932831. The reversal of 42581932800 is 823918524.

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, 2314036 + ... + 2332364.

Almost surely, 2^42581932800 is an apocalyptic number.

42581932800 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 42581932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77237230980).

42581932800 is an abundant number, since it is smaller than the sum of its proper divisors (111892529160).

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

42581932800 is a wasteful number, since it uses less digits than its factorization.

42581932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380 (or 18350 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 42581932800 in words is "forty-two billion, five hundred eighty-one million, nine hundred thirty-two thousand, eight hundred".