11026749440 has 192 divisors, whose sum is σ = 32019624000. Its totient is φ = 3557818368.

The previous prime is 11026749421. The next prime is 11026749467. The reversal of 11026749440 is 4494762011.

It is a junction number, because it is equal to n+sod(n) for n = 11026749394 and 11026749403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214036 + ... + 1223084.

It is an arithmetic number, because the mean of its divisors is an integer number (166768875).

Almost surely, 2^11026749440 is an apocalyptic number.

11026749440 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 11026749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16009812000).

11026749440 is an abundant number, since it is smaller than the sum of its proper divisors (20992874560).

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

11026749440 is an equidigital number, since it uses as much as digits as its factorization.

11026749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 11026749440 in words is "eleven billion, twenty-six million, seven hundred forty-nine thousand, four hundred forty".