13031449640440 has 512 divisors, whose sum is σ = 38187417600000. Its totient is φ = 3883881830400.

The previous prime is 13031449640423. The next prime is 13031449640459. The reversal of 13031449640440 is 4404694413031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2831075179 + ... + 2831079781.

It is an arithmetic number, because the mean of its divisors is an integer number (74584800000).

Almost surely, 2^{13031449640440} is an apocalyptic number.

13031449640440 is a gapful number since it is divisible by the number (10) 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 13031449640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19093708800000).

13031449640440 is an abundant number, since it is smaller than the sum of its proper divisors (25155967959560).

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

13031449640440 is a wasteful number, since it uses less digits than its factorization.

13031449640440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 13031449640440 in words is "thirteen trillion, thirty-one billion, four hundred forty-nine million, six hundred forty thousand, four hundred forty".