11021944046400 has 756 divisors, whose sum is σ = 45666980161920. Its totient is φ = 2513964902400.

The previous prime is 11021944046381. The next prime is 11021944046431. The reversal of 11021944046400 is 464044912011.

It is a happy number.

11021944046400 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 1 + 9 + 4 + 4 + 0 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 337966095 + ... + 337998705.

Almost surely, 2^{11021944046400} is an apocalyptic number.

11021944046400 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 11021944046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833490080960).

11021944046400 is an abundant number, since it is smaller than the sum of its proper divisors (34645036115520).

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

11021944046400 is a wasteful number, since it uses less digits than its factorization.

11021944046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33132 (or 33107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 11021944046400 its reverse (464044912011), we get a palindrome (11485988958411).

The spelling of 11021944046400 in words is "eleven trillion, twenty-one billion, nine hundred forty-four million, forty-six thousand, four hundred".