5144294400 has 396 divisors, whose sum is σ = 19792492128. Its totient is φ = 1174978560.

The previous prime is 5144294357. The next prime is 5144294423. The reversal of 5144294400 is 44924415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3762517 + ... + 3763883.

Almost surely, 2^5144294400 is an apocalyptic number.

5144294400 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 5144294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896246064).

5144294400 is an abundant number, since it is smaller than the sum of its proper divisors (14648197728).

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

5144294400 is a wasteful number, since it uses less digits than its factorization.

5144294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5144294400 is about 71723.7366567024. The cubic root of 5144294400 is about 1726.2695296370.

The spelling of 5144294400 in words is "five billion, one hundred forty-four million, two hundred ninety-four thousand, four hundred".