794317933440 has 1344 divisors, whose sum is σ = 3117322478160. Its totient is φ = 193300660224.

The previous prime is 794317933427. The next prime is 794317933441. The reversal of 794317933440 is 44339713497.

794317933440 is a `hidden beast` number, since 79 + 4 + 31 + 79 + 33 + 440 = 666.

It is a super-4 number, since 4×794317933440⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (794317933441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5797941052 + ... + 5797941188.

Almost surely, 2^794317933440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 794317933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558661239080).

794317933440 is an abundant number, since it is smaller than the sum of its proper divisors (2323004544720).

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

794317933440 is a wasteful number, since it uses less digits than its factorization.

794317933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 794317933440 in words is "seven hundred ninety-four billion, three hundred seventeen million, nine hundred thirty-three thousand, four hundred forty".