504141966720 has 768 divisors, whose sum is σ = 2066835139200. Its totient is φ = 110829109248.

The previous prime is 504141966707. The next prime is 504141966739. The reversal of 504141966720 is 27669141405.

504141966720 is a `hidden beast` number, since 504 + 1 + 4 + 19 + 66 + 72 + 0 = 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 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, 132771862 + ... + 132775658.

Almost surely, 2^504141966720 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 504141966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033417569600).

504141966720 is an abundant number, since it is smaller than the sum of its proper divisors (1562693172480).

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

504141966720 is a wasteful number, since it uses less digits than its factorization.

504141966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 504141966720 in words is "five hundred four billion, one hundred forty-one million, nine hundred sixty-six thousand, seven hundred twenty".