114040080 has 480 divisors, whose sum is σ = 509753088. Its totient is φ = 22302720.

The previous prime is 114040079. The next prime is 114040081. The reversal of 114040080 is 80040411.

It is an interprime number because it is at equal distance from previous prime (114040079) and next prime (114040081).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114040081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6708232 + ... + 6708248.

Almost surely, 2^114040080 is an apocalyptic number.

114040080 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 114040080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254876544).

114040080 is an abundant number, since it is smaller than the sum of its proper divisors (395713008).

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

114040080 is a wasteful number, since it uses less digits than its factorization.

114040080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114040080 is about 10678.9550050555. The cubic root of 114040080 is about 484.9375765481.

Adding to 114040080 its reverse (80040411), we get a palindrome (194080491).

The spelling of 114040080 in words is "one hundred fourteen million, forty thousand, eighty".