11344441213440 has 120 divisors (see below), whose sum is σ = 39288990626028. Its totient is φ = 3025184317440.

The previous prime is 11344441213429. The next prime is 11344441213451. The reversal of 11344441213440 is 4431214444311.

11344441213440 is a `hidden beast` number, since 1 + 1 + 3 + 44 + 441 + 2 + 134 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11344441213429) and next prime (11344441213451).

It can be written as a sum of positive squares in 2 ways, for example, as 10445100044544 + 899341168896 = 3231888^2 + 948336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 11344441213395 and 11344441213404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246167091 + ... + 246213170.

Almost surely, 2^{11344441213440} is an apocalyptic number.

11344441213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11344441213440 is an abundant number, since it is smaller than the sum of its proper divisors (27944549412588).

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

11344441213440 is an equidigital number, since it uses as much as digits as its factorization.

11344441213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492380290 (or 492380271 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 11344441213440 its reverse (4431214444311), we get a palindrome (15775655657751).

The spelling of 11344441213440 in words is "eleven trillion, three hundred forty-four billion, four hundred forty-one million, two hundred thirteen thousand, four hundred forty".