504357412000 has 192 divisors, whose sum is σ = 1335395303424. Its totient is φ = 186103526400.

The previous prime is 504357411979. The next prime is 504357412021. The reversal of 504357412000 is 214753405.

It is an interprime number because it is at equal distance from previous prime (504357411979) and next prime (504357412021).

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 31 ways as a sum of consecutive naturals, for example, 140762209 + ... + 140765791.

It is an arithmetic number, because the mean of its divisors is an integer number (6955183872).

Almost surely, 2^504357412000 is an apocalyptic number.

504357412000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504357412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667697651712).

504357412000 is an abundant number, since it is smaller than the sum of its proper divisors (831037891424).

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

504357412000 is a wasteful number, since it uses less digits than its factorization.

504357412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The spelling of 504357412000 in words is "five hundred four billion, three hundred fifty-seven million, four hundred twelve thousand".