31316725440 has 2240 divisors, whose sum is σ = 160599656448. Its totient is φ = 5573836800.

The previous prime is 31316725409. The next prime is 31316725477. The reversal of 31316725440 is 4452761313.

31316725440 is a `hidden beast` number, since 3 + 131 + 67 + 25 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 = 31316725395 and 31316725404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 441080605 + ... + 441080675.

Almost surely, 2^31316725440 is an apocalyptic number.

31316725440 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 31316725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80299828224).

31316725440 is an abundant number, since it is smaller than the sum of its proper divisors (129282931008).

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

31316725440 is a wasteful number, since it uses less digits than its factorization.

31316725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 31316725440 in words is "thirty-one billion, three hundred sixteen million, seven hundred twenty-five thousand, four hundred forty".