11344040120000 has 280 divisors, whose sum is σ = 32311382472864. Its totient is φ = 3869623296000.

The previous prime is 11344040119967. The next prime is 11344040120009. The reversal of 11344040120000 is 2104044311.

11344040120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×11344040120000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11344040120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55057172 + ... + 55262828.

Almost surely, 2^{11344040120000} is an apocalyptic number.

11344040120000 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 11344040120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155691236432).

11344040120000 is an abundant number, since it is smaller than the sum of its proper divisors (20967342352864).

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

11344040120000 is an equidigital number, since it uses as much as digits as its factorization.

11344040120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205893 (or 205868 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11344040120000 its reverse (2104044311), we get a palindrome (11346144164311).

The spelling of 11344040120000 in words is "eleven trillion, three hundred forty-four billion, forty million, one hundred twenty thousand".