14113304443040 has 192 divisors, whose sum is σ = 36576269331840. Its totient is φ = 5103626711040.

The previous prime is 14113304442929. The next prime is 14113304443103. The reversal of 14113304443040 is 4034440331141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14113304442988 and 14113304443006.

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, 233738294 + ... + 233798666.

It is an arithmetic number, because the mean of its divisors is an integer number (190501402770).

Almost surely, 2^{14113304443040} is an apocalyptic number.

14113304443040 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 14113304443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288134665920).

14113304443040 is an abundant number, since it is smaller than the sum of its proper divisors (22462964888800).

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

14113304443040 is a wasteful number, since it uses less digits than its factorization.

14113304443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61135 (or 61127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14113304443040 its reverse (4034440331141), we get a palindrome (18147744774181).

The spelling of 14113304443040 in words is "fourteen trillion, one hundred thirteen billion, three hundred four million, four hundred forty-three thousand, forty".