14011408320 has 224 divisors, whose sum is σ = 54752613888. Its totient is φ = 2956234752.

The previous prime is 14011408291. The next prime is 14011408331. The reversal of 14011408320 is 2380411041.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7167 + ... + 167553.

It is an arithmetic number, because the mean of its divisors is an integer number (244431312).

Almost surely, 2^14011408320 is an apocalyptic number.

14011408320 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 14011408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27376306944).

14011408320 is an abundant number, since it is smaller than the sum of its proper divisors (40741205568).

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

14011408320 is a wasteful number, since it uses less digits than its factorization.

14011408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160427 (or 160417 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14011408320 its reverse (2380411041), we get a palindrome (16391819361).

The spelling of 14011408320 in words is "fourteen billion, eleven million, four hundred eight thousand, three hundred twenty".