11040550400 has 240 divisors, whose sum is σ = 31418703360. Its totient is φ = 3802521600.

The previous prime is 11040550399. The next prime is 11040550403. The reversal of 11040550400 is 405504011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040550403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2673137 + ... + 2677263.

It is an arithmetic number, because the mean of its divisors is an integer number (130911264).

Almost surely, 2^11040550400 is an apocalyptic number.

11040550400 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 11040550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709351680).

11040550400 is an abundant number, since it is smaller than the sum of its proper divisors (20378152960).

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

11040550400 is a wasteful number, since it uses less digits than its factorization.

11040550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

It can be divided in two parts, 1 and 1040550400, that added together give a palindrome (1040550401).

The spelling of 11040550400 in words is "eleven billion, forty million, five hundred fifty thousand, four hundred".