31804413120 has 336 divisors, whose sum is σ = 115543584000. Its totient is φ = 8007469056.

The previous prime is 31804413107. The next prime is 31804413197. The reversal of 31804413120 is 2131440813.

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 47 ways as a sum of consecutive naturals, for example, 19643671 + ... + 19645289.

Almost surely, 2^31804413120 is an apocalyptic number.

31804413120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31804413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57771792000).

31804413120 is an abundant number, since it is smaller than the sum of its proper divisors (83739170880).

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

31804413120 is a wasteful number, since it uses less digits than its factorization.

31804413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 31804413120 its reverse (2131440813), we get a palindrome (33935853933).

The spelling of 31804413120 in words is "thirty-one billion, eight hundred four million, four hundred thirteen thousand, one hundred twenty".