11444042384640 has 108 divisors (see below), whose sum is σ = 39595194602964. Its totient is φ = 3051744632832.

The previous prime is 11444042384581. The next prime is 11444042384647. The reversal of 11444042384640 is 4648324044411.

11444042384640 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 404 + 238 + 4 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2260524278016 + 9183518106624 = 1503504^2 + 3030432^2 .

It is a super-2 number, since 2×11444042384640² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444042384647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496691709 + ... + 496714748.

Almost surely, 2^{11444042384640} is an apocalyptic number.

11444042384640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11444042384640 is an abundant number, since it is smaller than the sum of its proper divisors (28151152218324).

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

11444042384640 is an equidigital number, since it uses as much as digits as its factorization.

11444042384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993406484 (or 993406467 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 11444042384640 in words is "eleven trillion, four hundred forty-four billion, forty-two million, three hundred eighty-four thousand, six hundred forty".