31442012304000 has 128 divisors (see below), whose sum is σ = 104230270946880. Its totient is φ = 8384536601600.

The previous prime is 31442012303869. The next prime is 31442012304007. The reversal of 31442012304000 is 40321024413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31442012304007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327472962 + ... + 327568961.

Almost surely, 2^{31442012304000} is an apocalyptic number.

31442012304000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31442012304000 is an abundant number, since it is smaller than the sum of its proper divisors (72788258642880).

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

31442012304000 is an equidigital number, since it uses as much as digits as its factorization.

31442012304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655041955 (or 655041933 counting only the distinct ones).

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

Adding to 31442012304000 its reverse (40321024413), we get a palindrome (31482333328413).

The spelling of 31442012304000 in words is "thirty-one trillion, four hundred forty-two billion, twelve million, three hundred four thousand".