14075425728 has 280 divisors, whose sum is σ = 51354301152. Its totient is φ = 3712075776.

The previous prime is 14075425717. The next prime is 14075425733. The reversal of 14075425728 is 82752457041.

14075425728 is a `hidden beast` number, since 1 + 4 + 0 + 75 + 4 + 2 + 572 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 456826 + ... + 486662.

Almost surely, 2^14075425728 is an apocalyptic number.

14075425728 is a gapful number since it is divisible by the number (18) 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 14075425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25677150576).

14075425728 is an abundant number, since it is smaller than the sum of its proper divisors (37278875424).

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

14075425728 is a wasteful number, since it uses less digits than its factorization.

14075425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29881 (or 29862 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 14075425728 in words is "fourteen billion, seventy-five million, four hundred twenty-five thousand, seven hundred twenty-eight".