14028729120 has 768 divisors, whose sum is σ = 61529932800. Its totient is φ = 2910781440.

The previous prime is 14028729109. The next prime is 14028729193. The reversal of 14028729120 is 2192782041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14907850 + ... + 14908790.

It is an arithmetic number, because the mean of its divisors is an integer number (80117100).

Almost surely, 2^14028729120 is an apocalyptic number.

14028729120 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 14028729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30764966400).

14028729120 is an abundant number, since it is smaller than the sum of its proper divisors (47501203680).

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

14028729120 is a wasteful number, since it uses less digits than its factorization.

14028729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 14028729120 in words is "fourteen billion, twenty-eight million, seven hundred twenty-nine thousand, one hundred twenty".