1141322400 has 504 divisors, whose sum is σ = 4440028320. Its totient is φ = 285534720.

The previous prime is 1141322363. The next prime is 1141322411. The reversal of 1141322400 is 42231411.

1141322400 is a `hidden beast` number, since 11 + 413 + 2 + 240 + 0 = 666.

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 83 ways as a sum of consecutive naturals, for example, 11080749 + ... + 11080851.

It is an arithmetic number, because the mean of its divisors is an integer number (8809580).

Almost surely, 2^1141322400 is an apocalyptic number.

1141322400 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 1141322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220014160).

1141322400 is an abundant number, since it is smaller than the sum of its proper divisors (3298705920).

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

1141322400 is a wasteful number, since it uses less digits than its factorization.

1141322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1141322400 is about 33783.4634103728. The cubic root of 1141322400 is about 1045.0476997221.

Adding to 1141322400 its reverse (42231411), we get a palindrome (1183553811).

The spelling of 1141322400 in words is "one billion, one hundred forty-one million, three hundred twenty-two thousand, four hundred".