744126788321 has 32 divisors (see below), whose sum is σ = 885967653120. Its totient is φ = 611808712704.

The previous prime is 744126788297. The next prime is 744126788341. The reversal of 744126788321 is 123887621447.

It is a happy number.

It is not a de Polignac number, because 744126788321 - 2²⁶ = 744059679457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (744126788341) by changing a digit.

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, 3607061 + ... + 3807773.

It is an arithmetic number, because the mean of its divisors is an integer number (27686489160).

Almost surely, 2^744126788321 is an apocalyptic number.

It is an amenable number.

744126788321 is a deficient number, since it is larger than the sum of its proper divisors (141840864799).

744126788321 is a wasteful number, since it uses less digits than its factorization.

744126788321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200985.

The product of its digits is 3612672, while the sum is 53.

The spelling of 744126788321 in words is "seven hundred forty-four billion, one hundred twenty-six million, seven hundred eighty-eight thousand, three hundred twenty-one".