11304333040 has 480 divisors, whose sum is σ = 36539411328. Its totient is φ = 3162931200.

The previous prime is 11304333037. The next prime is 11304333071. The reversal of 11304333040 is 4033340311.

It is a happy number.

11304333040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11304333040³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36115924 + ... + 36116236.

Almost surely, 2^11304333040 is an apocalyptic number.

11304333040 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 11304333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18269705664).

11304333040 is an abundant number, since it is smaller than the sum of its proper divisors (25235078288).

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

11304333040 is a wasteful number, since it uses less digits than its factorization.

11304333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 11304333040 its reverse (4033340311), we get a palindrome (15337673351).

The spelling of 11304333040 in words is "eleven billion, three hundred four million, three hundred thirty-three thousand, forty".