31163408640000 has 3360 divisors, whose sum is σ = 144075767996160. Its totient is φ = 6557220864000.

The previous prime is 31163408639969. The next prime is 31163408640029. The reversal of 31163408640000 is 4680436113.

It is a happy number.

31163408640000 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 3 + 4 + 0 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 279 ways as a sum of consecutive naturals, for example, 84913919817 + ... + 84913920183.

It is an arithmetic number, because the mean of its divisors is an integer number (42879692856).

Almost surely, 2^{31163408640000} is an apocalyptic number.

31163408640000 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 31163408640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037883998080).

31163408640000 is an abundant number, since it is smaller than the sum of its proper divisors (112912359356160).

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

31163408640000 is an frugal number, since it uses more digits than its factorization.

31163408640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31163408640000 in words is "thirty-one trillion, one hundred sixty-three billion, four hundred eight million, six hundred forty thousand".