31120442304 has 224 divisors, whose sum is σ = 100255303680. Its totient is φ = 8321522688.

The previous prime is 31120442303. The next prime is 31120442357. The reversal of 31120442304 is 40324402113.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120442303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2112147 + ... + 2126829.

It is an arithmetic number, because the mean of its divisors is an integer number (447568320).

Almost surely, 2^31120442304 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 31120442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50127651840).

31120442304 is an abundant number, since it is smaller than the sum of its proper divisors (69134861376).

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

31120442304 is a wasteful number, since it uses less digits than its factorization.

31120442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14807 (or 14797 counting only the distinct ones).

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

Adding to 31120442304 its reverse (40324402113), we get a palindrome (71444844417).

The spelling of 31120442304 in words is "thirty-one billion, one hundred twenty million, four hundred forty-two thousand, three hundred four".