514410000000 has 512 divisors, whose sum is σ = 1840776537600. Its totient is φ = 126528000000.

The previous prime is 514409999989. The next prime is 514410000037. The reversal of 514410000000 is 14415.

514410000000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389999341 + ... + 390000659.

It is an arithmetic number, because the mean of its divisors is an integer number (3595266675).

Almost surely, 2^514410000000 is an apocalyptic number.

514410000000 is a gapful number since it is divisible by the number (50) 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 514410000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920388268800).

514410000000 is an abundant number, since it is smaller than the sum of its proper divisors (1326366537600).

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

514410000000 is an frugal number, since it uses more digits than its factorization.

514410000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 514410000000 its reverse (14415), we get a palindrome (514410014415).

The spelling of 514410000000 in words is "five hundred fourteen billion, four hundred ten million", and thus it is an aban number.