744406740401 has 8 divisors (see below), whose sum is σ = 762578917800. Its totient is φ = 726235320960.

The previous prime is 744406740391. The next prime is 744406740437. The reversal of 744406740401 is 104047604447.

744406740401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6999832225 + 737406908176 = 83665^2 + 858724^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 744406740401 - 2²⁶ = 744339631537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (744406740461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2145695 + ... + 2468363.

It is an arithmetic number, because the mean of its divisors is an integer number (95322364725).

Almost surely, 2^744406740401 is an apocalyptic number.

It is an amenable number.

744406740401 is a deficient number, since it is larger than the sum of its proper divisors (18172177399).

744406740401 is a wasteful number, since it uses less digits than its factorization.

744406740401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378979.

The product of its (nonzero) digits is 301056, while the sum is 41.

The spelling of 744406740401 in words is "seven hundred forty-four billion, four hundred six million, seven hundred forty thousand, four hundred one".