31808125440 has 960 divisors, whose sum is σ = 140182099200. Its totient is φ = 6693912576.

The previous prime is 31808125423. The next prime is 31808125463. The reversal of 31808125440 is 4452180813.

31808125440 is a `hidden beast` number, since 31 + 8 + 0 + 81 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 31808125395 and 31808125404.

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, 81768766 + ... + 81769154.

It is an arithmetic number, because the mean of its divisors is an integer number (146023020).

Almost surely, 2^31808125440 is an apocalyptic number.

31808125440 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 31808125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70091049600).

31808125440 is an abundant number, since it is smaller than the sum of its proper divisors (108373973760).

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

31808125440 is a wasteful number, since it uses less digits than its factorization.

31808125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 31808125440 in words is "thirty-one billion, eight hundred eight million, one hundred twenty-five thousand, four hundred forty".