514507414000 has 160 divisors (see below), whose sum is σ = 1321781400576. Its totient is φ = 193032089600.

The previous prime is 514507413977. The next prime is 514507414013. The reversal of 514507414000 is 414705415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9936177 + ... + 9987823.

Almost surely, 2^514507414000 is an apocalyptic number.

514507414000 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 514507414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660890700288).

514507414000 is an abundant number, since it is smaller than the sum of its proper divisors (807273986576).

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

514507414000 is a wasteful number, since it uses less digits than its factorization.

514507414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51980 (or 51964 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The spelling of 514507414000 in words is "five hundred fourteen billion, five hundred seven million, four hundred fourteen thousand".