114000440 has 64 divisors (see below), whose sum is σ = 262906560. Its totient is φ = 44477440.

The previous prime is 114000431. The next prime is 114000457. The reversal of 114000440 is 44000411.

It is a super-2 number, since 2×114000440² = 25992200640387200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388934 + ... + 389226.

It is an arithmetic number, because the mean of its divisors is an integer number (4107915).

Almost surely, 2^114000440 is an apocalyptic number.

114000440 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 114000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131453280).

114000440 is an abundant number, since it is smaller than the sum of its proper divisors (148906120).

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

114000440 is a wasteful number, since it uses less digits than its factorization.

114000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 114000440 is about 10677.0988568993. The cubic root of 114000440 is about 484.8813824064.

Adding to 114000440 its reverse (44000411), we get a palindrome (158000851).

The spelling of 114000440 in words is "one hundred fourteen million, four hundred forty", and thus it is an aban number.