11241413014320 has 400 divisors, whose sum is σ = 40308414524928. Its totient is φ = 2901408491520.

The previous prime is 11241413014319. The next prime is 11241413014327. The reversal of 11241413014320 is 2341031414211.

It is a happy number.

11241413014320 is a `hidden beast` number, since 1 + 1 + 24 + 14 + 1 + 301 + 4 + 320 = 666.

11241413014320 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 (27).

It is not an unprimeable number, because it can be changed into a prime (11241413014327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45671422 + ... + 45916898.

Almost surely, 2^{11241413014320} is an apocalyptic number.

11241413014320 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 11241413014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20154207262464).

11241413014320 is an abundant number, since it is smaller than the sum of its proper divisors (29067001510608).

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

11241413014320 is a wasteful number, since it uses less digits than its factorization.

11241413014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245730 (or 245715 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11241413014320 its reverse (2341031414211), we get a palindrome (13582444428531).

The spelling of 11241413014320 in words is "eleven trillion, two hundred forty-one billion, four hundred thirteen million, fourteen thousand, three hundred twenty".