5640031490016 has 384 divisors, whose sum is σ = 18704944742400. Its totient is φ = 1457535720960.

The previous prime is 5640031489999. The next prime is 5640031490017. The reversal of 5640031490016 is 6100941300465.

It is a super-2 number, since 2×5640031490016² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5640031490017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177976125 + ... + 178007811.

It is an arithmetic number, because the mean of its divisors is an integer number (48710793600).

Almost surely, 2^{5640031490016} is an apocalyptic number.

5640031490016 is a gapful number since it is divisible by the number (56) 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 5640031490016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9352472371200).

5640031490016 is an abundant number, since it is smaller than the sum of its proper divisors (13064913252384).

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

5640031490016 is a wasteful number, since it uses less digits than its factorization.

5640031490016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31939 (or 31909 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 5640031490016 in words is "five trillion, six hundred forty billion, thirty-one million, four hundred ninety thousand, sixteen".