31749440181440 has 224 divisors, whose sum is σ = 81052795805184. Its totient is φ = 11803223900160.

The previous prime is 31749440181421. The next prime is 31749440181497. The reversal of 31749440181440 is 4418104494713.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043447507 + ... + 1043477933.

It is an arithmetic number, because the mean of its divisors is an integer number (361842838416).

Almost surely, 2^{31749440181440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31749440181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40526397902592).

31749440181440 is an abundant number, since it is smaller than the sum of its proper divisors (49303355623744).

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

31749440181440 is a wasteful number, since it uses less digits than its factorization.

31749440181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32855 (or 32845 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 31749440181440 in words is "thirty-one trillion, seven hundred forty-nine billion, four hundred forty million, one hundred eighty-one thousand, four hundred forty".