1114011440 has 80 divisors (see below), whose sum is σ = 2717558208. Its totient is φ = 423886848.

The previous prime is 1114011427. The next prime is 1114011461. The reversal of 1114011440 is 441104111.

It is a tau number, because it is divible by the number of its divisors (80).

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, 353552 + ... + 356688.

Almost surely, 2^1114011440 is an apocalyptic number.

1114011440 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 1114011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358779104).

1114011440 is an abundant number, since it is smaller than the sum of its proper divisors (1603546768).

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

1114011440 is a wasteful number, since it uses less digits than its factorization.

1114011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1114011440 is about 33376.8099134714. The cubic root of 1114011440 is about 1036.6445852740.

Adding to 1114011440 its reverse (441104111), we get a palindrome (1555115551).

The spelling of 1114011440 in words is "one billion, one hundred fourteen million, eleven thousand, four hundred forty".