11034133440 has 448 divisors, whose sum is σ = 39976104960. Its totient is φ = 2554101760.

The previous prime is 11034133433. The next prime is 11034133529. The reversal of 11034133440 is 4433143011.

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 11034133440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41954749 + ... + 41955011.

Almost surely, 2^11034133440 is an apocalyptic number.

11034133440 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 11034133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19988052480).

11034133440 is an abundant number, since it is smaller than the sum of its proper divisors (28941971520).

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

11034133440 is a wasteful number, since it uses less digits than its factorization.

11034133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

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

Adding to 11034133440 its reverse (4433143011), we get a palindrome (15467276451).

The spelling of 11034133440 in words is "eleven billion, thirty-four million, one hundred thirty-three thousand, four hundred forty".