5144140400 has 120 divisors (see below), whose sum is σ = 14185282560. Its totient is φ = 1756097280.

The previous prime is 5144140387. The next prime is 5144140411. The reversal of 5144140400 is 40414415.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665357 + ... + 673043.

It is an arithmetic number, because the mean of its divisors is an integer number (118210688).

Almost surely, 2^5144140400 is an apocalyptic number.

5144140400 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 5144140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092641280).

5144140400 is an abundant number, since it is smaller than the sum of its proper divisors (9041142160).

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

5144140400 is a wasteful number, since it uses less digits than its factorization.

5144140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7951 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 5144140400 is about 71722.6630849692. The cubic root of 5144140400 is about 1726.2523035518.

Adding to 5144140400 its reverse (40414415), we get a palindrome (5184554815).

The spelling of 5144140400 in words is "five billion, one hundred forty-four million, one hundred forty thousand, four hundred".