1441114100 has 72 divisors (see below), whose sum is σ = 3167797248. Its totient is φ = 569027200.

The previous prime is 1441114093. The next prime is 1441114153. The reversal of 1441114100 is 14111441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3762509 + ... + 3762891.

It is an arithmetic number, because the mean of its divisors is an integer number (43997184).

Almost surely, 2^1441114100 is an apocalyptic number.

1441114100 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 1441114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583898624).

1441114100 is an abundant number, since it is smaller than the sum of its proper divisors (1726683148).

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

1441114100 is a wasteful number, since it uses less digits than its factorization.

1441114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

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

The square root of 1441114100 is about 37962.0086402182. The cubic root of 1441114100 is about 1129.5343840956.

Adding to 1441114100 its reverse (14111441), we get a palindrome (1455225541).

The spelling of 1441114100 in words is "one billion, four hundred forty-one million, one hundred fourteen thousand, one hundred".