11404120014320 has 320 divisors, whose sum is σ = 29745541163520. Its totient is φ = 4031186227200.

The previous prime is 11404120014307. The next prime is 11404120014341. The reversal of 11404120014320 is 2341002140411.

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, 1693761674 + ... + 1693768406.

It is an arithmetic number, because the mean of its divisors is an integer number (92954816136).

Almost surely, 2^{11404120014320} is an apocalyptic number.

11404120014320 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 11404120014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14872770581760).

11404120014320 is an abundant number, since it is smaller than the sum of its proper divisors (18341421149200).

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

11404120014320 is a wasteful number, since it uses less digits than its factorization.

11404120014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11404120014320 its reverse (2341002140411), we get a palindrome (13745122154731).

The spelling of 11404120014320 in words is "eleven trillion, four hundred four billion, one hundred twenty million, fourteen thousand, three hundred twenty".