14038013214720 has 2560 divisors, whose sum is σ = 59359585570560. Its totient is φ = 3139184885760.

The previous prime is 14038013214677. The next prime is 14038013214721. The reversal of 14038013214720 is 2741231083041.

14038013214720 is a `hidden beast` number, since 1 + 4 + 0 + 380 + 132 + 147 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is not an unprimeable number, because it can be changed into a prime (14038013214721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 124230205384 + ... + 124230205496.

Almost surely, 2^{14038013214720} is an apocalyptic number.

14038013214720 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 14038013214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29679792785280).

14038013214720 is an abundant number, since it is smaller than the sum of its proper divisors (45321572355840).

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

14038013214720 is a wasteful number, since it uses less digits than its factorization.

14038013214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 14038013214720 its reverse (2741231083041), we get a palindrome (16779244297761).

The spelling of 14038013214720 in words is "fourteen trillion, thirty-eight billion, thirteen million, two hundred fourteen thousand, seven hundred twenty".