31413698749440 has 4224 divisors, whose sum is σ = 147828745958400. Its totient is φ = 5992989327360.

The previous prime is 31413698749399. The next prime is 31413698749453. The reversal of 31413698749440 is 4494789631413.

31413698749440 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 3 + 69 + 87 + 494 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 111792522100 + ... + 111792522380.

Almost surely, 2^{31413698749440} is an apocalyptic number.

31413698749440 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 31413698749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73914372979200).

31413698749440 is an abundant number, since it is smaller than the sum of its proper divisors (116415047208960).

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

31413698749440 is a wasteful number, since it uses less digits than its factorization.

31413698749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 31413698749440 in words is "thirty-one trillion, four hundred thirteen billion, six hundred ninety-eight million, seven hundred forty-nine thousand, four hundred forty".