1141411200 has 96 divisors (see below), whose sum is σ = 3759554760. Its totient is φ = 304373760.

The previous prime is 1141411157. The next prime is 1141411211. The reversal of 1141411200 is 21141411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1141411200.

It is a congruent number.

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, 49849 + ... + 69048.

Almost surely, 2^1141411200 is an apocalyptic number.

1141411200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141411200 is an abundant number, since it is smaller than the sum of its proper divisors (2618143560).

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

1141411200 is a wasteful number, since it uses less digits than its factorization.

1141411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118924 (or 118907 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1141411200 is about 33784.7776372733. Note that the first 3 decimals coincide. The cubic root of 1141411200 is about 1045.0748021514.

Adding to 1141411200 its reverse (21141411), we get a palindrome (1162552611).

The spelling of 1141411200 in words is "one billion, one hundred forty-one million, four hundred eleven thousand, two hundred".