514324114630040 has 1024 divisors, whose sum is σ = 1482679605657600. Its totient is φ = 157702887014400.

The previous prime is 514324114630013. The next prime is 514324114630273. The reversal of 514324114630040 is 40036411423415.

It is a junction number, because it is equal to n+sod(n) for n = 514324114629976 and 514324114630003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 134534163569 + ... + 134534167391.

It is an arithmetic number, because the mean of its divisors is an integer number (1447929302400).

Almost surely, 2^{514324114630040} 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 514324114630040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741339802828800).

514324114630040 is an abundant number, since it is smaller than the sum of its proper divisors (968355491027560).

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

514324114630040 is a wasteful number, since it uses less digits than its factorization.

514324114630040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 514324114630040 in words is "five hundred fourteen trillion, three hundred twenty-four billion, one hundred fourteen million, six hundred thirty thousand, forty".