31373274240000 has 7040 divisors, whose sum is σ = 163543889203200. Its totient is φ = 5733089280000.

The previous prime is 31373274239963. The next prime is 31373274240013. The reversal of 31373274240000 is 4247237313.

31373274240000 is a `hidden beast` number, since 313 + 7 + 32 + 74 + 240 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

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 639 ways as a sum of consecutive naturals, for example, 429770879964 + ... + 429770880036.

It is an arithmetic number, because the mean of its divisors is an integer number (23230666080).

Almost surely, 2^{31373274240000} is an apocalyptic number.

31373274240000 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 31373274240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81771944601600).

31373274240000 is an abundant number, since it is smaller than the sum of its proper divisors (132170614963200).

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

31373274240000 is a wasteful number, since it uses less digits than its factorization.

31373274240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 31373274240000 in words is "thirty-one trillion, three hundred seventy-three billion, two hundred seventy-four million, two hundred forty thousand".