1141311114400 has 72 divisors (see below), whose sum is σ = 2845507250880. Its totient is φ = 446811144960.

The previous prime is 1141311114347. The next prime is 1141311114403. The reversal of 1141311114400 is 44111131411.

It is not an unprimeable number, because it can be changed into a prime (1141311114403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15139410 + ... + 15214609.

It is an arithmetic number, because the mean of its divisors is an integer number (39520934040).

Almost surely, 2^{1141311114400} is an apocalyptic number.

1141311114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141311114400 is an abundant number, since it is smaller than the sum of its proper divisors (1704196136480).

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

1141311114400 is a wasteful number, since it uses less digits than its factorization.

1141311114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30354086 (or 30354073 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 1141311114400 its reverse (44111131411), we get a palindrome (1185422245811).

The spelling of 1141311114400 in words is "one trillion, one hundred forty-one billion, three hundred eleven million, one hundred fourteen thousand, four hundred".