2014400440 has 32 divisors (see below), whose sum is σ = 4881048480. Its totient is φ = 743778432.

The previous prime is 2014400413. The next prime is 2014400441. The reversal of 2014400440 is 440044102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014400441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1936404 + ... + 1937443.

It is an arithmetic number, because the mean of its divisors is an integer number (152532765).

Almost surely, 2^2014400440 is an apocalyptic number.

2014400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014400440 is an abundant number, since it is smaller than the sum of its proper divisors (2866648040).

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

2014400440 is a wasteful number, since it uses less digits than its factorization.

2014400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873871 (or 3873867 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2014400440 is about 44882.0725902893. The cubic root of 2014400440 is about 1262.9377241127.

Adding to 2014400440 its reverse (440044102), we get a palindrome (2454444542).

The spelling of 2014400440 in words is "two billion, fourteen million, four hundred thousand, four hundred forty".