4144344000 has 112 divisors (see below), whose sum is σ = 13684703136. Its totient is φ = 1105152000.

The previous prime is 4144343993. The next prime is 4144344047. The reversal of 4144344000 is 4434414.

4144344000 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62341 + ... + 110340.

Almost surely, 2^4144344000 is an apocalyptic number.

4144344000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144344000 is an abundant number, since it is smaller than the sum of its proper divisors (9540359136).

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

4144344000 is a wasteful number, since it uses less digits than its factorization.

4144344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172711 (or 172691 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4144344000 is about 64376.5795922710. The cubic root of 4144344000 is about 1606.2701875362.

Adding to 4144344000 its reverse (4434414), we get a palindrome (4148778414).

The spelling of 4144344000 in words is "four billion, one hundred forty-four million, three hundred forty-four thousand".