744308430432 has 192 divisors, whose sum is σ = 2280390336000. Its totient is φ = 212482690560.

The previous prime is 744308430421. The next prime is 744308430449. The reversal of 744308430432 is 234034803447.

It is a happy number.

It is a super-2 number, since 2×744308430432² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42501294 + ... + 42518802.

It is an arithmetic number, because the mean of its divisors is an integer number (11877033000).

Almost surely, 2^744308430432 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 744308430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140195168000).

744308430432 is an abundant number, since it is smaller than the sum of its proper divisors (1536081905568).

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

744308430432 is a wasteful number, since it uses less digits than its factorization.

744308430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18834 (or 18812 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 744308430432 in words is "seven hundred forty-four billion, three hundred eight million, four hundred thirty thousand, four hundred thirty-two".