11449083440 has 80 divisors (see below), whose sum is σ = 27338964480. Its totient is φ = 4456892160.

The previous prime is 11449083439. The next prime is 11449083461. The reversal of 11449083440 is 4438094411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11449083394 and 11449083403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664535 + ... + 681545.

It is an arithmetic number, because the mean of its divisors is an integer number (341737056).

Almost surely, 2^11449083440 is an apocalyptic number.

11449083440 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 11449083440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669482240).

11449083440 is an abundant number, since it is smaller than the sum of its proper divisors (15889881040).

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

11449083440 is a wasteful number, since it uses less digits than its factorization.

11449083440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17250 (or 17244 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 11449083440 in words is "eleven billion, four hundred forty-nine million, eighty-three thousand, four hundred forty".