514861338420 has 1344 divisors, whose sum is σ = 2060085000960. Its totient is φ = 106151731200.

The previous prime is 514861338419. The next prime is 514861338529. The reversal of 514861338420 is 24833168415.

514861338420 is a `hidden beast` number, since 5 + 1 + 4 + 8 + 613 + 3 + 8 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1624168102 + ... + 1624168418.

It is an arithmetic number, because the mean of its divisors is an integer number (1532801340).

Almost surely, 2^514861338420 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 514861338420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030042500480).

514861338420 is an abundant number, since it is smaller than the sum of its proper divisors (1545223662540).

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

514861338420 is a wasteful number, since it uses less digits than its factorization.

514861338420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 514861338420 in words is "five hundred fourteen billion, eight hundred sixty-one million, three hundred thirty-eight thousand, four hundred twenty".