14029720627200 has 576 divisors, whose sum is σ = 48958116480000. Its totient is φ = 3534422999040.

The previous prime is 14029720627159. The next prime is 14029720627217. The reversal of 14029720627200 is 272602792041.

It is a super-2 number, since 2×14029720627200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1071046251 + ... + 1071059349.

It is an arithmetic number, because the mean of its divisors is an integer number (84996730000).

Almost surely, 2^{14029720627200} is an apocalyptic number.

14029720627200 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 14029720627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24479058240000).

14029720627200 is an abundant number, since it is smaller than the sum of its proper divisors (34928395852800).

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

14029720627200 is a wasteful number, since it uses less digits than its factorization.

14029720627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13520 (or 13495 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 14029720627200 in words is "fourteen trillion, twenty-nine billion, seven hundred twenty million, six hundred twenty-seven thousand, two hundred".