1141342441400 has 96 divisors (see below), whose sum is σ = 3033333770880. Its totient is φ = 391236912000.

The previous prime is 1141342441277. The next prime is 1141342441429. The reversal of 1141342441400 is 41442431411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6934055 + ... + 7096745.

It is an arithmetic number, because the mean of its divisors is an integer number (31597226780).

Almost surely, 2^{1141342441400} is an apocalyptic number.

1141342441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141342441400 is an abundant number, since it is smaller than the sum of its proper divisors (1891991329480).

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

1141342441400 is a wasteful number, since it uses less digits than its factorization.

1141342441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167725 (or 167716 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 1141342441400 its reverse (41442431411), we get a palindrome (1182784872811).

The spelling of 1141342441400 in words is "one trillion, one hundred forty-one billion, three hundred forty-two million, four hundred forty-one thousand, four hundred".