114004432140 has 96 divisors (see below), whose sum is σ = 322269554880. Its totient is φ = 30110416896.

The previous prime is 114004432103. The next prime is 114004432177. The reversal of 114004432140 is 41234400411.

It is an interprime number because it is at equal distance from previous prime (114004432103) and next prime (114004432177).

It is a self number, because there is not a number n which added to its sum of digits gives 114004432140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10822396 + ... + 10832924.

It is an arithmetic number, because the mean of its divisors is an integer number (3356974530).

Almost surely, 2^114004432140 is an apocalyptic number.

114004432140 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 114004432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161134777440).

114004432140 is an abundant number, since it is smaller than the sum of its proper divisors (208265122740).

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

114004432140 is a wasteful number, since it uses less digits than its factorization.

114004432140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12251 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114004432140 its reverse (41234400411), we get a palindrome (155238832551).

The spelling of 114004432140 in words is "one hundred fourteen billion, four million, four hundred thirty-two thousand, one hundred forty".