11411432220400 has 120 divisors (see below), whose sum is σ = 27466788441600. Its totient is φ = 4556115828480.

The previous prime is 11411432220347. The next prime is 11411432220421. The reversal of 11411432220400 is 402223411411.

11411432220400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1397257117 + ... + 1397265283.

It is an arithmetic number, because the mean of its divisors is an integer number (228889903680).

Almost surely, 2^{11411432220400} is an apocalyptic number.

11411432220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11411432220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733394220800).

11411432220400 is an abundant number, since it is smaller than the sum of its proper divisors (16055356221200).

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

11411432220400 is a wasteful number, since it uses less digits than its factorization.

11411432220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14231 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 11411432220400 its reverse (402223411411), we get a palindrome (11813655631811).

The spelling of 11411432220400 in words is "eleven trillion, four hundred eleven billion, four hundred thirty-two million, two hundred twenty thousand, four hundred".