11088742406400 has 1296 divisors, whose sum is σ = 42084863271360. Its totient is φ = 2887844659200.

The previous prime is 11088742406387. The next prime is 11088742406437. The reversal of 11088742406400 is 460424788011.

11088742406400 is a `hidden beast` number, since 1 + 108 + 87 + 424 + 0 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16981228474 + ... + 16981229126.

Almost surely, 2^{11088742406400} is an apocalyptic number.

11088742406400 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 11088742406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21042431635680).

11088742406400 is an abundant number, since it is smaller than the sum of its proper divisors (30996120864960).

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

11088742406400 is an equidigital number, since it uses as much as digits as its factorization.

11088742406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 11088742406400 in words is "eleven trillion, eighty-eight billion, seven hundred forty-two million, four hundred six thousand, four hundred".