319540500464640 has 2112 divisors, whose sum is σ = 1314716928069888. Its totient is φ = 65617684070400.

The previous prime is 319540500464623. The next prime is 319540500464651. The reversal of 319540500464640 is 46464005045913.

It is a super-2 number, since 2×319540500464640² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 247513942395 + ... + 247513943685.

Almost surely, 2^{319540500464640} is an apocalyptic number.

319540500464640 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 319540500464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657358464034944).

319540500464640 is an abundant number, since it is smaller than the sum of its proper divisors (995176427605248).

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

319540500464640 is a wasteful number, since it uses less digits than its factorization.

319540500464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 319540500464640 in words is "three hundred nineteen trillion, five hundred forty billion, five hundred million, four hundred sixty-four thousand, six hundred forty".