744172313040 has 160 divisors (see below), whose sum is σ = 2760434154240. Its totient is φ = 183180870144.

The previous prime is 744172313021. The next prime is 744172313081. The reversal of 744172313040 is 40313271447.

744172313040 is a `hidden beast` number, since 7 + 4 + 417 + 231 + 3 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 744172312986 and 744172313004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13222852 + ... + 13279011.

It is an arithmetic number, because the mean of its divisors is an integer number (17252713464).

Almost surely, 2^744172313040 is an apocalyptic number.

It is an amenable number.

744172313040 is an abundant number, since it is smaller than the sum of its proper divisors (2016261841200).

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

744172313040 is a wasteful number, since it uses less digits than its factorization.

744172313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26501898 (or 26501886 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 744172313040 its reverse (40313271447), we get a palindrome (784485584487).

The spelling of 744172313040 in words is "seven hundred forty-four billion, one hundred seventy-two million, three hundred thirteen thousand, forty".