31460072140800 has 936 divisors, whose sum is σ = 117458443035648. Its totient is φ = 8039153664000.

The previous prime is 31460072140787. The next prime is 31460072140829. The reversal of 31460072140800 is 804127006413.

31460072140800 is a `hidden beast` number, since 3 + 1 + 4 + 600 + 7 + 2 + 1 + 40 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×31460072140800² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2942663455 + ... + 2942674145.

It is an arithmetic number, because the mean of its divisors is an integer number (125489789568).

Almost surely, 2^{31460072140800} is an apocalyptic number.

31460072140800 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 31460072140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58729221517824).

31460072140800 is an abundant number, since it is smaller than the sum of its proper divisors (85998370894848).

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

31460072140800 is a wasteful number, since it uses less digits than its factorization.

31460072140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10865 (or 10835 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 31460072140800 in words is "thirty-one trillion, four hundred sixty billion, seventy-two million, one hundred forty thousand, eight hundred".