514239943680 has 1056 divisors, whose sum is σ = 1945626009600. Its totient is φ = 130069463040.

The previous prime is 514239943673. The next prime is 514239943697. The reversal of 514239943680 is 86349932415.

514239943680 is a `hidden beast` number, since 5 + 1 + 42 + 3 + 99 + 436 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 2584120221 + ... + 2584120419.

Almost surely, 2^514239943680 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 514239943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972813004800).

514239943680 is an abundant number, since it is smaller than the sum of its proper divisors (1431386065920).

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

514239943680 is a wasteful number, since it uses less digits than its factorization.

514239943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 514239943680 in words is "five hundred fourteen billion, two hundred thirty-nine million, nine hundred forty-three thousand, six hundred eighty".