42332114400 has 144 divisors (see below), whose sum is σ = 141515411184. Its totient is φ = 10983444480.

The previous prime is 42332114389. The next prime is 42332114413. The reversal of 42332114400 is 441123324.

42332114400 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149557 + ... + 327156.

It is an arithmetic number, because the mean of its divisors is an integer number (982745911).

Almost surely, 2^42332114400 is an apocalyptic number.

42332114400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42332114400 is an abundant number, since it is smaller than the sum of its proper divisors (99183296784).

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

42332114400 is a wasteful number, since it uses less digits than its factorization.

42332114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476773 (or 476760 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42332114400 its reverse (441123324), we get a palindrome (42773237724).

The spelling of 42332114400 in words is "forty-two billion, three hundred thirty-two million, one hundred fourteen thousand, four hundred".