31617040000 has 640 divisors, whose sum is σ = 100106455680. Its totient is φ = 9676800000.

The previous prime is 31617039967. The next prime is 31617040009. The reversal of 31617040000 is 4071613.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31617040009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 313039950 + ... + 313040050.

It is an arithmetic number, because the mean of its divisors is an integer number (156416337).

Almost surely, 2^31617040000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31617040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50053227840).

31617040000 is an abundant number, since it is smaller than the sum of its proper divisors (68489415680).

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

31617040000 is a wasteful number, since it uses less digits than its factorization.

31617040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The spelling of 31617040000 in words is "thirty-one billion, six hundred seventeen million, forty thousand".