5144405400 has 288 divisors, whose sum is σ = 18130937760. Its totient is φ = 1304709120.

The previous prime is 5144405393. The next prime is 5144405417. The reversal of 5144405400 is 45044415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12958002 + ... + 12958398.

It is an arithmetic number, because the mean of its divisors is an integer number (62954645).

Almost surely, 2^5144405400 is an apocalyptic number.

5144405400 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 5144405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9065468880).

5144405400 is an abundant number, since it is smaller than the sum of its proper divisors (12986532360).

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

5144405400 is a wasteful number, since it uses less digits than its factorization.

5144405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5144405400 is about 71724.5104549344. The cubic root of 5144405400 is about 1726.2819456280.

Adding to 5144405400 its reverse (45044415), we get a palindrome (5189449815).

The spelling of 5144405400 in words is "five billion, one hundred forty-four million, four hundred five thousand, four hundred".