1114000440 has 256 divisors, whose sum is σ = 3984491520. Its totient is φ = 243855360.

The previous prime is 1114000379. The next prime is 1114000471. The reversal of 1114000440 is 440004111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2268595 + ... + 2269085.

It is an arithmetic number, because the mean of its divisors is an integer number (15564420).

Almost surely, 2^1114000440 is an apocalyptic number.

1114000440 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 1114000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992245760).

1114000440 is an abundant number, since it is smaller than the sum of its proper divisors (2870491080).

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

1114000440 is a wasteful number, since it uses less digits than its factorization.

1114000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1114000440 is about 33376.6451279933. The cubic root of 1114000440 is about 1036.6411732420.

Adding to 1114000440 its reverse (440004111), we get a palindrome (1554004551).

The spelling of 1114000440 in words is "one billion, one hundred fourteen million, four hundred forty", and thus it is an aban number.