11033401440 has 96 divisors (see below), whose sum is σ = 34809427296. Its totient is φ = 2937651200.

The previous prime is 11033401429. The next prime is 11033401453. The reversal of 11033401440 is 4410433011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×11033401440³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 295840 + ... + 331040.

It is an arithmetic number, because the mean of its divisors is an integer number (362598201).

Almost surely, 2^11033401440 is an apocalyptic number.

11033401440 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 11033401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404713648).

11033401440 is an abundant number, since it is smaller than the sum of its proper divisors (23776025856).

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

11033401440 is a wasteful number, since it uses less digits than its factorization.

11033401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35872 (or 35864 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11033401440 its reverse (4410433011), we get a palindrome (15443834451).

The spelling of 11033401440 in words is "eleven billion, thirty-three million, four hundred one thousand, four hundred forty".