14128750400 has 84 divisors (see below), whose sum is σ = 34918276620. Its totient is φ = 5626675200.

The previous prime is 14128750397. The next prime is 14128750409. The reversal of 14128750400 is 405782141.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7706176 + 14121044224 = 2776^2 + 118832^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14128750409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347120 + ... + 385680.

Almost surely, 2^14128750400 is an apocalyptic number.

14128750400 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 14128750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459138310).

14128750400 is an abundant number, since it is smaller than the sum of its proper divisors (20789526220).

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

14128750400 is a wasteful number, since it uses less digits than its factorization.

14128750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38812 (or 38797 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 14128750400 in words is "fourteen billion, one hundred twenty-eight million, seven hundred fifty thousand, four hundred".