11405413100000 has 144 divisors (see below), whose sum is σ = 29543386446000. Its totient is φ = 4322050560000.

The previous prime is 11405413099999. The next prime is 11405413100027. The reversal of 11405413100000 is 131450411.

It is a happy number.

11405413100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11405413100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101425 + ... + 4901424.

It is an arithmetic number, because the mean of its divisors is an integer number (205162405875).

Almost surely, 2^{11405413100000} is an apocalyptic number.

11405413100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11405413100000 is an abundant number, since it is smaller than the sum of its proper divisors (18137973346000).

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

11405413100000 is an frugal number, since it uses more digits than its factorization.

11405413100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002903 (or 6002875 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11405413100000 its reverse (131450411), we get a palindrome (11405544550411).

The spelling of 11405413100000 in words is "eleven trillion, four hundred five billion, four hundred thirteen million, one hundred thousand".