42709732800 has 1008 divisors, whose sum is σ = 172518458112. Its totient is φ = 9212313600.

The previous prime is 42709732789. The next prime is 42709732831. The reversal of 42709732800 is 823790724.

42709732800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 414657549 + ... + 414657651.

It is an arithmetic number, because the mean of its divisors is an integer number (171149264).

Almost surely, 2^42709732800 is an apocalyptic number.

42709732800 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 42709732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86259229056).

42709732800 is an abundant number, since it is smaller than the sum of its proper divisors (129808725312).

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

42709732800 is a wasteful number, since it uses less digits than its factorization.

42709732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 42709732800 in words is "forty-two billion, seven hundred nine million, seven hundred thirty-two thousand, eight hundred".