11344521424320 has 896 divisors, whose sum is σ = 46133747712000. Its totient is φ = 2570681401344.

The previous prime is 11344521424307. The next prime is 11344521424331. The reversal of 11344521424320 is 2342412544311.

11344521424320 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 5 + 214 + 2 + 432 + 0 = 666.

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

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, 6821719809 + ... + 6821721471.

Almost surely, 2^{11344521424320} is an apocalyptic number.

11344521424320 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 11344521424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23066873856000).

11344521424320 is an abundant number, since it is smaller than the sum of its proper divisors (34789226287680).

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

11344521424320 is a wasteful number, since it uses less digits than its factorization.

11344521424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 11344521424320 its reverse (2342412544311), we get a palindrome (13686933968631).

The spelling of 11344521424320 in words is "eleven trillion, three hundred forty-four billion, five hundred twenty-one million, four hundred twenty-four thousand, three hundred twenty".