11434133332440 has 512 divisors, whose sum is σ = 46937560320000. Its totient is φ = 2411021334528.

The previous prime is 11434133332423. The next prime is 11434133332463. The reversal of 11434133332440 is 4423333143411.

11434133332440 is a `hidden beast` number, since 1 + 1 + 43 + 41 + 3 + 333 + 244 + 0 = 666.

11434133332440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11434133332395 and 11434133332404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166943482 + ... + 167011958.

It is an arithmetic number, because the mean of its divisors is an integer number (91674922500).

Almost surely, 2^{11434133332440} is an apocalyptic number.

11434133332440 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 11434133332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23468780160000).

11434133332440 is an abundant number, since it is smaller than the sum of its proper divisors (35503426987560).

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

11434133332440 is a wasteful number, since it uses less digits than its factorization.

11434133332440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70216 (or 70206 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 11434133332440 its reverse (4423333143411), we get a palindrome (15857466475851).

The spelling of 11434133332440 in words is "eleven trillion, four hundred thirty-four billion, one hundred thirty-three million, three hundred thirty-two thousand, four hundred forty".