11444336640 has 768 divisors, whose sum is σ = 45853516800. Its totient is φ = 2683699200.

The previous prime is 11444336627. The next prime is 11444336653. The reversal of 11444336640 is 4663344411.

11444336640 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 3 + 3 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (11444336627) and next prime (11444336653).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×11444336640² (a number of 21 digits) contains 22 as substring.

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 = 11444336595 and 11444336604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161187805 + ... + 161187875.

It is an arithmetic number, because the mean of its divisors is an integer number (59705100).

Almost surely, 2^11444336640 is an apocalyptic number.

11444336640 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 11444336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22926758400).

11444336640 is an abundant number, since it is smaller than the sum of its proper divisors (34409180160).

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

11444336640 is a wasteful number, since it uses less digits than its factorization.

11444336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 11444336640 in words is "eleven billion, four hundred forty-four million, three hundred thirty-six thousand, six hundred forty".