5103442446400 has 63 divisors (see below), whose sum is σ = 12557880423559. Its totient is φ = 2041340833280.

The previous prime is 5103442446397. The next prime is 5103442446523. The reversal of 5103442446400 is 46442443015.

The square root of 5103442446400 is 2259080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2455037724736 + 2648404721664 = 1566856^2 + 1627392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5103442446400.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 90334962 + ... + 90391438.

Almost surely, 2^{5103442446400} is an apocalyptic number.

5103442446400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5103442446400 is the 2259080-th square number.

It is an amenable number.

5103442446400 is an abundant number, since it is smaller than the sum of its proper divisors (7454437977159).

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

5103442446400 is an frugal number, since it uses more digits than its factorization.

5103442446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112976 (or 56484 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 5103442446400 its reverse (46442443015), we get a palindrome (5149884889415).

The spelling of 5103442446400 in words is "five trillion, one hundred three billion, four hundred forty-two million, four hundred forty-six thousand, four hundred".