31443413120 has 256 divisors, whose sum is σ = 91285920000. Its totient is φ = 10116513792.

The previous prime is 31443413117. The next prime is 31443413159. The reversal of 31443413120 is 2131434413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31443413120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9276386 + ... + 9279774.

It is an arithmetic number, because the mean of its divisors is an integer number (356585625).

Almost surely, 2^31443413120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31443413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45642960000).

31443413120 is an abundant number, since it is smaller than the sum of its proper divisors (59842506880).

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

31443413120 is a wasteful number, since it uses less digits than its factorization.

31443413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 31443413120 its reverse (2131434413), we get a palindrome (33574847533).

The spelling of 31443413120 in words is "thirty-one billion, four hundred forty-three million, four hundred thirteen thousand, one hundred twenty".