114034440 has 96 divisors (see below), whose sum is σ = 370509120. Its totient is φ = 28065024.

The previous prime is 114034439. The next prime is 114034441. The reversal of 114034440 is 44430411.

It is an interprime number because it is at equal distance from previous prime (114034439) and next prime (114034441).

It is a super-2 number, since 2×114034440² = 26007707012227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114034441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17469 + ... + 23091.

It is an arithmetic number, because the mean of its divisors is an integer number (3859470).

Almost surely, 2^114034440 is an apocalyptic number.

114034440 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 114034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185254560).

114034440 is an abundant number, since it is smaller than the sum of its proper divisors (256474680).

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

114034440 is a wasteful number, since it uses less digits than its factorization.

114034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 114034440 is about 10678.6909310084. The cubic root of 114034440 is about 484.9295820108.

Adding to 114034440 its reverse (44430411), we get a palindrome (158464851).

The spelling of 114034440 in words is "one hundred fourteen million, thirty-four thousand, four hundred forty".