1803141120 has 480 divisors, whose sum is σ = 6794565120. Its totient is φ = 403701760.

The previous prime is 1803141101. The next prime is 1803141169. The reversal of 1803141120 is 211413081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62177266 + ... + 62177294.

It is an arithmetic number, because the mean of its divisors is an integer number (14155344).

Almost surely, 2^1803141120 is an apocalyptic number.

1803141120 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 1803141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397282560).

1803141120 is an abundant number, since it is smaller than the sum of its proper divisors (4991424000).

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

1803141120 is a wasteful number, since it uses less digits than its factorization.

1803141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1803141120 is about 42463.4091895599. The cubic root of 1803141120 is about 1217.1475777803.

The spelling of 1803141120 in words is "one billion, eight hundred three million, one hundred forty-one thousand, one hundred twenty".