502414400000000 has 468 divisors, whose sum is σ = 1268724457834620. Its totient is φ = 198912000000000.

The previous prime is 502414399999957. The next prime is 502414400000003. The reversal of 502414400000000 is 4414205.

It can be written as a sum of positive squares in 18 ways, for example, as 54441258778624 + 447973141221376 = 7378432^2 + 21165376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (502414400000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161599998446 + ... + 161600001554.

Almost surely, 2^{502414400000000} is an apocalyptic number.

502414400000000 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 502414400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634362228917310).

502414400000000 is an abundant number, since it is smaller than the sum of its proper divisors (766310057834620).

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

502414400000000 is an frugal number, since it uses more digits than its factorization.

502414400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 502414400000000 its reverse (4414205), we get a palindrome (502414404414205).

The spelling of 502414400000000 in words is "five hundred two trillion, four hundred fourteen billion, four hundred million", and thus it is an aban number.