504200041620 has 384 divisors, whose sum is σ = 1657742671872. Its totient is φ = 113279232000.

The previous prime is 504200041619. The next prime is 504200041621. The reversal of 504200041620 is 26140002405.

It is an interprime number because it is at equal distance from previous prime (504200041619) and next prime (504200041621).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504200041621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72055962 + ... + 72062958.

It is an arithmetic number, because the mean of its divisors is an integer number (4317038208).

Almost surely, 2^504200041620 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 504200041620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828871335936).

504200041620 is an abundant number, since it is smaller than the sum of its proper divisors (1153542630252).

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

504200041620 is a wasteful number, since it uses less digits than its factorization.

504200041620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191 (or 7189 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 504200041620 in words is "five hundred four billion, two hundred million, forty-one thousand, six hundred twenty".