1141444100 has 72 divisors (see below), whose sum is σ = 2551920000. Its totient is φ = 442886400.

The previous prime is 1141444099. The next prime is 1141444111. The reversal of 1141444100 is 14441411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815201 + ... + 816599.

Almost surely, 2^1141444100 is an apocalyptic number.

1141444100 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 1141444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275960000).

1141444100 is an abundant number, since it is smaller than the sum of its proper divisors (1410475900).

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

1141444100 is a wasteful number, since it uses less digits than its factorization.

1141444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1141444100 is about 33785.2645394409. The cubic root of 1141444100 is about 1045.0848431225.

Adding to 1141444100 its reverse (14441411), we get a palindrome (1155885511).

The spelling of 1141444100 in words is "one billion, one hundred forty-one million, four hundred forty-four thousand, one hundred".