1441104192 has 504 divisors, whose sum is σ = 5059192320. Its totient is φ = 390297600.

The previous prime is 1441104167. The next prime is 1441104227. The reversal of 1441104192 is 2914011441.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46487217 + ... + 46487247.

It is an arithmetic number, because the mean of its divisors is an integer number (10038080).

Almost surely, 2^1441104192 is an apocalyptic number.

1441104192 is a gapful number since it is divisible by the number (12) 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 1441104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529596160).

1441104192 is an abundant number, since it is smaller than the sum of its proper divisors (3618088128).

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

1441104192 is a wasteful number, since it uses less digits than its factorization.

1441104192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1441104192 is about 37961.8781411036. The cubic root of 1441104192 is about 1129.5317954844.

The spelling of 1441104192 in words is "one billion, four hundred forty-one million, one hundred four thousand, one hundred ninety-two".