114035040 has 288 divisors, whose sum is σ = 462309120. Its totient is φ = 26002944.

The previous prime is 114035021. The next prime is 114035041. The reversal of 114035040 is 40530411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (114035041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271951 + ... + 272369.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^114035040 is an apocalyptic number.

114035040 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 114035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

114035040 is an abundant number, since it is smaller than the sum of its proper divisors (348274080).

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

114035040 is an equidigital number, since it uses as much as digits as its factorization.

114035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114035040 is about 10678.7190243025. The cubic root of 114035040 is about 484.9304325060.

Adding to 114035040 its reverse (40530411), we get a palindrome (154565451).

The spelling of 114035040 in words is "one hundred fourteen million, thirty-five thousand, forty".