11024294400000 has 3120 divisors, whose sum is σ = 49552378444800. Its totient is φ = 2438553600000.

The previous prime is 11024294399999. The next prime is 11024294400013. The reversal of 11024294400000 is 449242011.

It is a happy number.

11024294400000 is a `hidden beast` number, since 1 + 10 + 242 + 9 + 4 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 355622399985 + ... + 355622400015.

Almost surely, 2^{11024294400000} is an apocalyptic number.

11024294400000 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 11024294400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24776189222400).

11024294400000 is an abundant number, since it is smaller than the sum of its proper divisors (38528084044800).

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

11024294400000 is an frugal number, since it uses more digits than its factorization.

11024294400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11024294400000 in words is "eleven trillion, twenty-four billion, two hundred ninety-four million, four hundred thousand".