5103438400 has 84 divisors (see below), whose sum is σ = 12575423668. Its totient is φ = 2038487040.

The previous prime is 5103438397. The next prime is 5103438427. The reversal of 5103438400 is 48343015.

It can be written as a sum of positive squares in 6 ways, for example, as 346853376 + 4756585024 = 18624^2 + 68968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1401382 + ... + 1405018.

Almost surely, 2^5103438400 is an apocalyptic number.

5103438400 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 5103438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287711834).

5103438400 is an abundant number, since it is smaller than the sum of its proper divisors (7471985268).

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

5103438400 is a wasteful number, since it uses less digits than its factorization.

5103438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5103438400 is about 71438.3538444161. The cubic root of 5103438400 is about 1721.6873652016.

The spelling of 5103438400 in words is "five billion, one hundred three million, four hundred thirty-eight thousand, four hundred".