14078529120 has 192 divisors, whose sum is σ = 45011828736. Its totient is φ = 3698472960.

The previous prime is 14078529071. The next prime is 14078529137. The reversal of 14078529120 is 2192587041.

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, 9569985 + ... + 9571455.

It is an arithmetic number, because the mean of its divisors is an integer number (234436608).

Almost surely, 2^14078529120 is an apocalyptic number.

14078529120 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 14078529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22505914368).

14078529120 is an abundant number, since it is smaller than the sum of its proper divisors (30933299616).

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

14078529120 is a wasteful number, since it uses less digits than its factorization.

14078529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 14078529120 in words is "fourteen billion, seventy-eight million, five hundred twenty-nine thousand, one hundred twenty".