1441114200 has 192 divisors, whose sum is σ = 5013964800. Its totient is φ = 380419200.

The previous prime is 1441114153. The next prime is 1441114219. The reversal of 1441114200 is 24111441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554905 + ... + 557495.

It is an arithmetic number, because the mean of its divisors is an integer number (26114400).

Almost surely, 2^1441114200 is an apocalyptic number.

1441114200 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 1441114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506982400).

1441114200 is an abundant number, since it is smaller than the sum of its proper divisors (3572850600).

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

1441114200 is a wasteful number, since it uses less digits than its factorization.

1441114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1441114200 is about 37962.0099573244. The cubic root of 1441114200 is about 1129.5344102220.

Adding to 1441114200 its reverse (24111441), we get a palindrome (1465225641).

The spelling of 1441114200 in words is "one billion, four hundred forty-one million, one hundred fourteen thousand, two hundred".