31141480320 has 512 divisors, whose sum is σ = 117631296000. Its totient is φ = 7860602880.

The previous prime is 31141480291. The next prime is 31141480387. The reversal of 31141480320 is 2308414113.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 26593335 + ... + 26594505.

It is an arithmetic number, because the mean of its divisors is an integer number (229748625).

Almost surely, 2^31141480320 is an apocalyptic number.

31141480320 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 31141480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58815648000).

31141480320 is an abundant number, since it is smaller than the sum of its proper divisors (86489815680).

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

31141480320 is an equidigital number, since it uses as much as digits as its factorization.

31141480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1200 counting only the distinct ones).

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

Adding to 31141480320 its reverse (2308414113), we get a palindrome (33449894433).

The spelling of 31141480320 in words is "thirty-one billion, one hundred forty-one million, four hundred eighty thousand, three hundred twenty".