11311143210400 has 216 divisors, whose sum is σ = 30358107230220. Its totient is φ = 4112293785600.

The previous prime is 11311143210383. The next prime is 11311143210439. The reversal of 11311143210400 is 401234111311.

It can be written as a sum of positive squares in 6 ways, for example, as 7980240804624 + 3330902405776 = 2824932^2 + 1825076^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 649422492 + ... + 649439908.

Almost surely, 2^{11311143210400} is an apocalyptic number.

11311143210400 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 11311143210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179053615110).

11311143210400 is an abundant number, since it is smaller than the sum of its proper divisors (19046964019820).

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

11311143210400 is a wasteful number, since it uses less digits than its factorization.

11311143210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24168 (or 24144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11311143210400 its reverse (401234111311), we get a palindrome (11712377321711).

The spelling of 11311143210400 in words is "eleven trillion, three hundred eleven billion, one hundred forty-three million, two hundred ten thousand, four hundred".