11141040400 has 240 divisors, whose sum is σ = 32439669760. Its totient is φ = 3595622400.

The previous prime is 11141040373. The next prime is 11141040419. The reversal of 11141040400 is 404014111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3209866 + ... + 3213334.

Almost surely, 2^11141040400 is an apocalyptic number.

11141040400 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 11141040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219834880).

11141040400 is an abundant number, since it is smaller than the sum of its proper divisors (21298629360).

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

11141040400 is a wasteful number, since it uses less digits than its factorization.

11141040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11141040400 its reverse (404014111), we get a palindrome (11545054511).

The spelling of 11141040400 in words is "eleven billion, one hundred forty-one million, forty thousand, four hundred".