513421411115440 has 160 divisors (see below), whose sum is σ = 1240737204986496. Its totient is φ = 197428922449920.

The previous prime is 513421411115419. The next prime is 513421411115453. The reversal of 513421411115440 is 44511114124315.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 513421411115440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253516132 + ... + 255533308.

Almost surely, 2^{513421411115440} 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 513421411115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620368602493248).

513421411115440 is an abundant number, since it is smaller than the sum of its proper divisors (727315793871056).

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

513421411115440 is a wasteful number, since it uses less digits than its factorization.

513421411115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018367 (or 2018361 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

Adding to 513421411115440 its reverse (44511114124315), we get a palindrome (557932525239755).

The spelling of 513421411115440 in words is "five hundred thirteen trillion, four hundred twenty-one billion, four hundred eleven million, one hundred fifteen thousand, four hundred forty".