117199967440 has 80 divisors (see below), whose sum is σ = 275954659200. Its totient is φ = 46287521280.

The previous prime is 117199967399. The next prime is 117199967449. The reversal of 117199967440 is 44769991711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117199967449) 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 15 ways as a sum of consecutive naturals, for example, 2057422 + ... + 2113618.

It is an arithmetic number, because the mean of its divisors is an integer number (3449433240).

Almost surely, 2^117199967440 is an apocalyptic number.

117199967440 is a gapful number since it is divisible by the number (10) 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 117199967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137977329600).

117199967440 is an abundant number, since it is smaller than the sum of its proper divisors (158754691760).

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

117199967440 is a wasteful number, since it uses less digits than its factorization.

117199967440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56540 (or 56534 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 58.

The spelling of 117199967440 in words is "one hundred seventeen billion, one hundred ninety-nine million, nine hundred sixty-seven thousand, four hundred forty".