11411210400 has 144 divisors (see below), whose sum is σ = 37178432928. Its totient is φ = 3040128000.

The previous prime is 11411210357. The next prime is 11411210401. The reversal of 11411210400 is 401211411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 11411210400.

It is not an unprimeable number, because it can be changed into a prime (11411210401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4177035 + ... + 4179765.

It is an arithmetic number, because the mean of its divisors is an integer number (258183562).

Almost surely, 2^11411210400 is an apocalyptic number.

11411210400 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 11411210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18589216464).

11411210400 is an abundant number, since it is smaller than the sum of its proper divisors (25767222528).

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

11411210400 is a wasteful number, since it uses less digits than its factorization.

11411210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11411210400 its reverse (401211411), we get a palindrome (11812421811).

The spelling of 11411210400 in words is "eleven billion, four hundred eleven million, two hundred ten thousand, four hundred".