1141308000 has 432 divisors, whose sum is σ = 4719091104. Its totient is φ = 260467200.

The previous prime is 1141307983. The next prime is 1141308037. The reversal of 1141308000 is 8031411.

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 71 ways as a sum of consecutive naturals, for example, 1763677 + ... + 1764323.

It is an arithmetic number, because the mean of its divisors is an integer number (10923822).

Almost surely, 2^1141308000 is an apocalyptic number.

1141308000 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 1141308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359545552).

1141308000 is an abundant number, since it is smaller than the sum of its proper divisors (3577783104).

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

1141308000 is a wasteful number, since it uses less digits than its factorization.

1141308000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1141308000 is about 33783.2502876795. The cubic root of 1141308000 is about 1045.0433046011.

Adding to 1141308000 its reverse (8031411), we get a palindrome (1149339411).

The spelling of 1141308000 in words is "one billion, one hundred forty-one million, three hundred eight thousand".