4144305400 has 72 divisors (see below), whose sum is σ = 9706599720. Its totient is φ = 1645577920.

The previous prime is 4144305383. The next prime is 4144305419. The reversal of 4144305400 is 45034414.

4144305400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5577429 + ... + 5578171.

It is an arithmetic number, because the mean of its divisors is an integer number (134813885).

Almost surely, 2^4144305400 is an apocalyptic number.

4144305400 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 4144305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853299860).

4144305400 is an abundant number, since it is smaller than the sum of its proper divisors (5562294320).

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

4144305400 is a wasteful number, since it uses less digits than its factorization.

4144305400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4144305400 is about 64376.2797931039. The cubic root of 4144305400 is about 1606.2652006414.

Adding to 4144305400 its reverse (45034414), we get a palindrome (4189339814).

The spelling of 4144305400 in words is "four billion, one hundred forty-four million, three hundred five thousand, four hundred".