516441830400 has 528 divisors, whose sum is σ = 2008124686080. Its totient is φ = 129613824000.

The previous prime is 516441830393. The next prime is 516441830431. The reversal of 516441830400 is 4038144615.

516441830400 is a `hidden beast` number, since 5 + 1 + 644 + 1 + 8 + 3 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11728425 + ... + 11772375.

Almost surely, 2^516441830400 is an apocalyptic number.

516441830400 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 516441830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004062343040).

516441830400 is an abundant number, since it is smaller than the sum of its proper divisors (1491682855680).

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

516441830400 is a wasteful number, since it uses less digits than its factorization.

516441830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44007 (or 43978 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 516441830400 in words is "five hundred sixteen billion, four hundred forty-one million, eight hundred thirty thousand, four hundred".