1141200400 has 30 divisors (see below), whose sum is σ = 2741734922. Its totient is φ = 456480000.

The previous prime is 1141200397. The next prime is 1141200413. The reversal of 1141200400 is 40021411.

It can be written as a sum of positive squares in 3 ways, for example, as 164762896 + 976437504 = 12836^2 + 31248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1426101 + ... + 1426900.

Almost surely, 2^1141200400 is an apocalyptic number.

1141200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141200400 is an abundant number, since it is smaller than the sum of its proper divisors (1600534522).

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

1141200400 is a wasteful number, since it uses less digits than its factorization.

1141200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853019 (or 2853008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1141200400 is about 33781.6577449953. The cubic root of 1141200400 is about 1045.0104621100.

Adding to 1141200400 its reverse (40021411), we get a palindrome (1181221811).

The spelling of 1141200400 in words is "one billion, one hundred forty-one million, two hundred thousand, four hundred".