1141135400 has 48 divisors (see below), whose sum is σ = 2661762300. Its totient is φ = 454970880.

The previous prime is 1141135379. The next prime is 1141135427. The reversal of 1141135400 is 45311411.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 438567364 + 702568036 = 20942^2 + 26506^2 .

It is a super-2 number, since 2×1141135400² = 2604380002266320000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 53486 + ... + 71714.

Almost surely, 2^1141135400 is an apocalyptic number.

1141135400 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 1141135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330881150).

1141135400 is an abundant number, since it is smaller than the sum of its proper divisors (1520626900).

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

1141135400 is a wasteful number, since it uses less digits than its factorization.

1141135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18558 (or 18549 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1141135400 is about 33780.6956707525. The cubic root of 1141135400 is about 1044.9906213149.

Adding to 1141135400 its reverse (45311411), we get a palindrome (1186446811).

The spelling of 1141135400 in words is "one billion, one hundred forty-one million, one hundred thirty-five thousand, four hundred".