744342144 has 384 divisors, whose sum is σ = 2637230400. Its totient is φ = 183730176.

The previous prime is 744342139. The next prime is 744342163. The reversal of 744342144 is 441243447.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

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, 4158247 + ... + 4158425.

Almost surely, 2^744342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318615200).

744342144 is an abundant number, since it is smaller than the sum of its proper divisors (1892888256).

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

744342144 is a wasteful number, since it uses less digits than its factorization.

744342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its digits is 43008, while the sum is 33.

The square root of 744342144 is about 27282.6344768976. The cubic root of 744342144 is about 906.2698590400.

The spelling of 744342144 in words is "seven hundred forty-four million, three hundred forty-two thousand, one hundred forty-four".