504139434480 has 240 divisors, whose sum is σ = 1854917322336. Its totient is φ = 121690644480.

The previous prime is 504139434397. The next prime is 504139434497. The reversal of 504139434480 is 84434931405.

504139434480 is a `hidden beast` number, since 5 + 0 + 4 + 139 + 4 + 34 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1708764 + ... + 1981956.

Almost surely, 2^504139434480 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 504139434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927458661168).

504139434480 is an abundant number, since it is smaller than the sum of its proper divisors (1350777887856).

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

504139434480 is a wasteful number, since it uses less digits than its factorization.

504139434480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273456 (or 273447 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 504139434480 in words is "five hundred four billion, one hundred thirty-nine million, four hundred thirty-four thousand, four hundred eighty".