1141331400 has 288 divisors, whose sum is σ = 4256647200. Its totient is φ = 271718400.

The previous prime is 1141331393. The next prime is 1141331419. The reversal of 1141331400 is 41331411.

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

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, 1167712 + ... + 1168688.

It is an arithmetic number, because the mean of its divisors is an integer number (14780025).

Almost surely, 2^1141331400 is an apocalyptic number.

1141331400 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 1141331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128323600).

1141331400 is an abundant number, since it is smaller than the sum of its proper divisors (3115315800).

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

1141331400 is a wasteful number, since it uses less digits than its factorization.

1141331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1141331400 is about 33783.5966113734. The cubic root of 1141331400 is about 1045.0504466539.

Adding to 1141331400 its reverse (41331411), we get a palindrome (1182662811).

The spelling of 1141331400 in words is "one billion, one hundred forty-one million, three hundred thirty-one thousand, four hundred".