114032640000 has 440 divisors, whose sum is σ = 393090077160. Its totient is φ = 29360128000.

The previous prime is 114032639999. The next prime is 114032640047. The reversal of 114032640000 is 46230411.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3932159986 + ... + 3932160014.

It is an arithmetic number, because the mean of its divisors is an integer number (893386539).

Almost surely, 2^114032640000 is an apocalyptic number.

114032640000 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 114032640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196545038580).

114032640000 is an abundant number, since it is smaller than the sum of its proper divisors (279057437160).

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

114032640000 is an frugal number, since it uses more digits than its factorization.

114032640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 114032640000 its reverse (46230411), we get a palindrome (114078870411).

The spelling of 114032640000 in words is "one hundred fourteen billion, thirty-two million, six hundred forty thousand".