117271440000 has 1920 divisors, whose sum is σ = 532384332480. Its totient is φ = 24330240000.

The previous prime is 117271439993. The next prime is 117271440001. The reversal of 117271440000 is 44172711.

117271440000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (117271440001) 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 239 ways as a sum of consecutive naturals, for example, 1750319967 + ... + 1750320033.

Almost surely, 2^117271440000 is an apocalyptic number.

117271440000 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 117271440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266192166240).

117271440000 is an abundant number, since it is smaller than the sum of its proper divisors (415112892480).

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

117271440000 is a wasteful number, since it uses less digits than its factorization.

117271440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 117271440000 in words is "one hundred seventeen billion, two hundred seventy-one million, four hundred forty thousand".