42462832800 has 144 divisors (see below), whose sum is σ = 142675368192. Its totient is φ = 10958131200.

The previous prime is 42462832739. The next prime is 42462832801. The reversal of 42462832800 is 823826424.

42462832800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42462832801) 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, 210969 + ... + 359768.

It is an arithmetic number, because the mean of its divisors is an integer number (990801168).

Almost surely, 2^42462832800 is an apocalyptic number.

42462832800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42462832800 is an abundant number, since it is smaller than the sum of its proper divisors (100212535392).

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

42462832800 is a wasteful number, since it uses less digits than its factorization.

42462832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570791 (or 570778 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 42462832800 in words is "forty-two billion, four hundred sixty-two million, eight hundred thirty-two thousand, eight hundred".