803951213382240 has 768 divisors, whose sum is σ = 3324434115502080. Its totient is φ = 158218493460480.

The previous prime is 803951213382227. The next prime is 803951213382263. The reversal of 803951213382240 is 42283312159308.

It is a happy number.

803951213382240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2558103192 + ... + 2558417448.

It is an arithmetic number, because the mean of its divisors is an integer number (4328690254560).

Almost surely, 2^{803951213382240} is an apocalyptic number.

803951213382240 is a gapful number since it is divisible by the number (80) 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 803951213382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662217057751040).

803951213382240 is an abundant number, since it is smaller than the sum of its proper divisors (2520482902119840).

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

803951213382240 is a wasteful number, since it uses less digits than its factorization.

803951213382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317955 (or 317947 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 803951213382240 in words is "eight hundred three trillion, nine hundred fifty-one billion, two hundred thirteen million, three hundred eighty-two thousand, two hundred forty".