11040100400 has 120 divisors (see below), whose sum is σ = 30347057664. Its totient is φ = 3780921600.

The previous prime is 11040100369. The next prime is 11040100417. The reversal of 11040100400 is 400104011.

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, 3445199 + ... + 3448401.

Almost surely, 2^11040100400 is an apocalyptic number.

11040100400 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 11040100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15173528832).

11040100400 is an abundant number, since it is smaller than the sum of its proper divisors (19306957264).

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

11040100400 is a wasteful number, since it uses less digits than its factorization.

11040100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11040100400 its reverse (400104011), we get a palindrome (11440204411).

The spelling of 11040100400 in words is "eleven billion, forty million, one hundred thousand, four hundred".