1141603200 has 384 divisors, whose sum is σ = 4258581600. Its totient is φ = 298598400.

The previous prime is 1141603189. The next prime is 1141603207. The reversal of 1141603200 is 23061411.

It is a happy number.

1141603200 is a `hidden beast` number, since 1 + 1 + 41 + 603 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141603207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6307110 + ... + 6307290.

Almost surely, 2^1141603200 is an apocalyptic number.

1141603200 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 1141603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129290800).

1141603200 is an abundant number, since it is smaller than the sum of its proper divisors (3116978400).

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

1141603200 is a wasteful number, since it uses less digits than its factorization.

1141603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

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

The square root of 1141603200 is about 33787.6190341965. The cubic root of 1141603200 is about 1045.1333971936.

Adding to 1141603200 its reverse (23061411), we get a palindrome (1164664611).

The spelling of 1141603200 in words is "one billion, one hundred forty-one million, six hundred three thousand, two hundred".