514144604340 has 36 divisors (see below), whose sum is σ = 1559571967044. Its totient is φ = 137105227776.

The previous prime is 514144604333. The next prime is 514144604353. The reversal of 514144604340 is 43406441415.

514144604340 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 4 + 4 + 604 + 3 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 317764454436 + 196380149904 = 563706^2 + 443148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 514144604295 and 514144604304.

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 11 ways as a sum of consecutive naturals, for example, 1428179277 + ... + 1428179636.

It is an arithmetic number, because the mean of its divisors is an integer number (43321443529).

Almost surely, 2^514144604340 is an apocalyptic number.

It is an amenable number.

514144604340 is an abundant number, since it is smaller than the sum of its proper divisors (1045427362704).

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

514144604340 is a wasteful number, since it uses less digits than its factorization.

514144604340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856358928 (or 2856358923 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 514144604340 in words is "five hundred fourteen billion, one hundred forty-four million, six hundred four thousand, three hundred forty".