1114441104 has 120 divisors (see below), whose sum is σ = 3375507168. Its totient is φ = 315893760.

The previous prime is 1114441099. The next prime is 1114441189. The reversal of 1114441104 is 4011444111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306304 + ... + 309920.

Almost surely, 2^1114441104 is an apocalyptic number.

1114441104 is a gapful number since it is divisible by the number (14) 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 1114441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687753584).

1114441104 is an abundant number, since it is smaller than the sum of its proper divisors (2261066064).

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

1114441104 is a wasteful number, since it uses less digits than its factorization.

1114441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1114441104 is about 33383.2458577652. The cubic root of 1114441104 is about 1036.7778429145. Note that the first 3 decimals are identical.

Adding to 1114441104 its reverse (4011444111), we get a palindrome (5125885215).

The spelling of 1114441104 in words is "one billion, one hundred fourteen million, four hundred forty-one thousand, one hundred four".