744306141040 has 160 divisors (see below), whose sum is σ = 2162908707840. Its totient is φ = 231412224000.

The previous prime is 744306141023. The next prime is 744306141101. The reversal of 744306141040 is 40141603447.

It is a junction number, because it is equal to n+sod(n) for n = 744306140987 and 744306141005.

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, 2319501 + ... + 2620819.

It is an arithmetic number, because the mean of its divisors is an integer number (13518179424).

Almost surely, 2^744306141040 is an apocalyptic number.

744306141040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744306141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081454353920).

744306141040 is an abundant number, since it is smaller than the sum of its proper divisors (1418602566800).

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

744306141040 is a wasteful number, since it uses less digits than its factorization.

744306141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301751 (or 301745 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 744306141040 its reverse (40141603447), we get a palindrome (784447744487).

The spelling of 744306141040 in words is "seven hundred forty-four billion, three hundred six million, one hundred forty-one thousand, forty".