11040144000400 has 120 divisors (see below), whose sum is σ = 26733946355424. Its totient is φ = 4381112985600.

The previous prime is 11040144000383. The next prime is 11040144000451. The reversal of 11040144000400 is 400044104011.

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, 198725427 + ... + 198780973.

Almost surely, 2^{11040144000400} is an apocalyptic number.

11040144000400 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 11040144000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366973177712).

11040144000400 is an abundant number, since it is smaller than the sum of its proper divisors (15693802355024).

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

11040144000400 is a wasteful number, since it uses less digits than its factorization.

11040144000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59489 (or 59478 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11040144000400 its reverse (400044104011), we get a palindrome (11440188104411).

The spelling of 11040144000400 in words is "eleven trillion, forty billion, one hundred forty-four million, four hundred", and thus it is an aban number.