5144074400 has 72 divisors (see below), whose sum is σ = 12709436544. Its totient is φ = 2032812800.

The previous prime is 5144074399. The next prime is 5144074409. The reversal of 5144074400 is 44704415.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5144074409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27665 + ... + 105135.

It is an arithmetic number, because the mean of its divisors is an integer number (176519952).

Almost surely, 2^5144074400 is an apocalyptic number.

5144074400 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 5144074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354718272).

5144074400 is an abundant number, since it is smaller than the sum of its proper divisors (7565362144).

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

5144074400 is a wasteful number, since it uses less digits than its factorization.

5144074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77574 (or 77561 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 5144074400 is about 71722.2029778785. The cubic root of 5144074400 is about 1726.2449208386.

Adding to 5144074400 its reverse (44704415), we get a palindrome (5188778815).

The spelling of 5144074400 in words is "five billion, one hundred forty-four million, seventy-four thousand, four hundred".