791010964440 has 192 divisors, whose sum is σ = 2632816742400. Its totient is φ = 205871606016.

The previous prime is 791010964439. The next prime is 791010964453. The reversal of 791010964440 is 44469010197.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6009169 + ... + 6139391.

It is an arithmetic number, because the mean of its divisors is an integer number (13712587200).

Almost surely, 2^791010964440 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 791010964440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316408371200).

791010964440 is an abundant number, since it is smaller than the sum of its proper divisors (1841805777960).

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

791010964440 is a wasteful number, since it uses less digits than its factorization.

791010964440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130646 (or 130639 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 791010964440 in words is "seven hundred ninety-one billion, ten million, nine hundred sixty-four thousand, four hundred forty".