11413141134400 has 84 divisors (see below), whose sum is σ = 29735428733748. Its totient is φ = 4296711946240.

The previous prime is 11413141134359. The next prime is 11413141134443. The reversal of 11413141134400 is 443114131411.

It can be written as a sum of positive squares in 6 ways, for example, as 15711118336 + 11397430016064 = 125344^2 + 3376008^2 .

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, 209773189 + ... + 209827588.

Almost surely, 2^{11413141134400} is an apocalyptic number.

11413141134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11413141134400 is an abundant number, since it is smaller than the sum of its proper divisors (18322287599348).

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

11413141134400 is a wasteful number, since it uses less digits than its factorization.

11413141134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419600816 (or 419600801 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 11413141134400 its reverse (443114131411), we get a palindrome (11856255265811).

The spelling of 11413141134400 in words is "eleven trillion, four hundred thirteen billion, one hundred forty-one million, one hundred thirty-four thousand, four hundred".