5007510349440 has 512 divisors, whose sum is σ = 17791509772800. Its totient is φ = 1191485374464.

The previous prime is 5007510349421. The next prime is 5007510349441. The reversal of 5007510349440 is 449430157005.

It is a junction number, because it is equal to n+sod(n) for n = 5007510349392 and 5007510349401.

It is not an unprimeable number, because it can be changed into a prime (5007510349441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84801846 + ... + 84860874.

It is an arithmetic number, because the mean of its divisors is an integer number (34749042525).

Almost surely, 2^{5007510349440} 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 5007510349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895754886400).

5007510349440 is an abundant number, since it is smaller than the sum of its proper divisors (12783999423360).

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

5007510349440 is a wasteful number, since it uses less digits than its factorization.

5007510349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59204 (or 59192 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 5007510349440 in words is "five trillion, seven billion, five hundred ten million, three hundred forty-nine thousand, four hundred forty".