504941349120 has 864 divisors, whose sum is σ = 1875586500480. Its totient is φ = 114767953920.

The previous prime is 504941349079. The next prime is 504941349173. The reversal of 504941349120 is 21943149405.

It is a super-2 number, since 2×504941349120² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2095192200 + ... + 2095192440.

Almost surely, 2^504941349120 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 504941349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937793250240).

504941349120 is an abundant number, since it is smaller than the sum of its proper divisors (1370645151360).

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

504941349120 is a wasteful number, since it uses less digits than its factorization.

504941349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 504941349120 in words is "five hundred four billion, nine hundred forty-one million, three hundred forty-nine thousand, one hundred twenty".