42307532800 has 288 divisors, whose sum is σ = 119643123600. Its totient is φ = 14698414080.

The previous prime is 42307532797. The next prime is 42307532809. The reversal of 42307532800 is 823570324.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42307532809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11313331 + ... + 11317069.

Almost surely, 2^42307532800 is an apocalyptic number.

42307532800 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 42307532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59821561800).

42307532800 is an abundant number, since it is smaller than the sum of its proper divisors (77335590800).

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

42307532800 is a wasteful number, since it uses less digits than its factorization.

42307532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 42307532800 in words is "forty-two billion, three hundred seven million, five hundred thirty-two thousand, eight hundred".