31681140480 has 864 divisors, whose sum is σ = 127590240960. Its totient is φ = 7184056320.

The previous prime is 31681140479. The next prime is 31681140521. The reversal of 31681140480 is 8404118613.

It is a happy number.

31681140480 is a `hidden beast` number, since 3 + 1 + 68 + 114 + 0 + 480 = 666.

It is a super-2 number, since 2×31681140480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135970444 + ... + 135970676.

It is an arithmetic number, because the mean of its divisors is an integer number (147673890).

Almost surely, 2^31681140480 is an apocalyptic number.

31681140480 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 31681140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63795120480).

31681140480 is an abundant number, since it is smaller than the sum of its proper divisors (95909100480).

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

31681140480 is a wasteful number, since it uses less digits than its factorization.

31681140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 31681140480 in words is "thirty-one billion, six hundred eighty-one million, one hundred forty thousand, four hundred eighty".