504410396749056 has 1728 divisors, whose sum is σ = 1873078459499520. Its totient is φ = 127233105592320.

The previous prime is 504410396749037. The next prime is 504410396749057. The reversal of 504410396749056 is 650947693014405.

It is a happy number.

504410396749056 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 1 + 0 + 3 + 96 + 7 + 490 + 56 = 666.

It is a super-2 number, since 2×504410396749056² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 504410396748984 and 504410396749002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504410396749057) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 43405070926 + ... + 43405082546.

It is an arithmetic number, because the mean of its divisors is an integer number (1083957441840).

Almost surely, 2^{504410396749056} is an apocalyptic number.

504410396749056 is a gapful number since it is divisible by the number (56) 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 504410396749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936539229749760).

504410396749056 is an abundant number, since it is smaller than the sum of its proper divisors (1368668062750464).

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

504410396749056 is a wasteful number, since it uses less digits than its factorization.

504410396749056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11835 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 504410396749056 in words is "five hundred four trillion, four hundred ten billion, three hundred ninety-six million, seven hundred forty-nine thousand, fifty-six".