5144012450400 has 144 divisors (see below), whose sum is σ = 16750900873728. Its totient is φ = 1371151680000.

The previous prime is 5144012450387. The next prime is 5144012450557. The reversal of 5144012450400 is 40542104415.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5186565 + ... + 6098235.

It is an arithmetic number, because the mean of its divisors is an integer number (116325700512).

Almost surely, 2^{5144012450400} is an apocalyptic number.

5144012450400 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 5144012450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8375450436864).

5144012450400 is an abundant number, since it is smaller than the sum of its proper divisors (11606888423328).

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

5144012450400 is a wasteful number, since it uses less digits than its factorization.

5144012450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914045 (or 914032 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 5144012450400 its reverse (40542104415), we get a palindrome (5184554554815).

The spelling of 5144012450400 in words is "five trillion, one hundred forty-four billion, twelve million, four hundred fifty thousand, four hundred".