11002211440 has 240 divisors, whose sum is σ = 30001829760. Its totient is φ = 3719646720.

The previous prime is 11002211431. The next prime is 11002211449. The reversal of 11002211440 is 4411220011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11002211431) and next prime (11002211449).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002211449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18742827 + ... + 18743413.

It is an arithmetic number, because the mean of its divisors is an integer number (125007624).

Almost surely, 2^11002211440 is an apocalyptic number.

11002211440 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 11002211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000914880).

11002211440 is an abundant number, since it is smaller than the sum of its proper divisors (18999618320).

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

11002211440 is a wasteful number, since it uses less digits than its factorization.

11002211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11002211440 its reverse (4411220011), we get a palindrome (15413431451).

The spelling of 11002211440 in words is "eleven billion, two million, two hundred eleven thousand, four hundred forty".