11033413440 has 224 divisors, whose sum is σ = 42390998784. Its totient is φ = 2373550080.

The previous prime is 11033413409. The next prime is 11033413463. The reversal of 11033413440 is 4431433011.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11033413440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65950 + ... + 162530.

Almost surely, 2^11033413440 is an apocalyptic number.

11033413440 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 11033413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195499392).

11033413440 is an abundant number, since it is smaller than the sum of its proper divisors (31357585344).

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

11033413440 is a wasteful number, since it uses less digits than its factorization.

11033413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96625 (or 96615 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11033413440 its reverse (4431433011), we get a palindrome (15464846451).

The spelling of 11033413440 in words is "eleven billion, thirty-three million, four hundred thirteen thousand, four hundred forty".