4144112400 has 240 divisors, whose sum is σ = 14118489216. Its totient is φ = 1036738560.

The previous prime is 4144112381. The next prime is 4144112417. The reversal of 4144112400 is 42114414.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461384 + ... + 1464216.

Almost surely, 2^4144112400 is an apocalyptic number.

4144112400 is a gapful number since it is divisible by the number (40) 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 4144112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059244608).

4144112400 is an abundant number, since it is smaller than the sum of its proper divisors (9974376816).

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

4144112400 is a wasteful number, since it uses less digits than its factorization.

4144112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4144112400 is about 64374.7807763258. The cubic root of 4144112400 is about 1606.2402657033.

Adding to 4144112400 its reverse (42114414), we get a palindrome (4186226814).

The spelling of 4144112400 in words is "four billion, one hundred forty-four million, one hundred twelve thousand, four hundred".