31031449120 has 576 divisors, whose sum is σ = 96504016896. Its totient is φ = 9348218880.

The previous prime is 31031449109. The next prime is 31031449147. The reversal of 31031449120 is 2194413013.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162468225 + ... + 162468415.

It is an arithmetic number, because the mean of its divisors is an integer number (167541696).

Almost surely, 2^31031449120 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 31031449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48252008448).

31031449120 is an abundant number, since it is smaller than the sum of its proper divisors (65472567776).

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

31031449120 is a wasteful number, since it uses less digits than its factorization.

31031449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 31031449120 in words is "thirty-one billion, thirty-one million, four hundred forty-nine thousand, one hundred twenty".