31413114720000 has 2160 divisors, whose sum is σ = 125215011970048. Its totient is φ = 7524679680000.

The previous prime is 31413114719971. The next prime is 31413114720023. The reversal of 31413114720000 is 2741131413.

31413114720000 is a `hidden beast` number, since 3 + 1 + 413 + 1 + 1 + 47 + 200 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 173553119910 + ... + 173553120090.

Almost surely, 2^{31413114720000} is an apocalyptic number.

31413114720000 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 31413114720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62607505985024).

31413114720000 is an abundant number, since it is smaller than the sum of its proper divisors (93801897250048).

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

31413114720000 is a wasteful number, since it uses less digits than its factorization.

31413114720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 31413114720000 its reverse (2741131413), we get a palindrome (31415855851413).

The spelling of 31413114720000 in words is "thirty-one trillion, four hundred thirteen billion, one hundred fourteen million, seven hundred twenty thousand".