14133434400 has 216 divisors, whose sum is σ = 49915281780. Its totient is φ = 3763077120.

The previous prime is 14133434377. The next prime is 14133434423. The reversal of 14133434400 is 443433141.

It is an interprime number because it is at equal distance from previous prime (14133434377) and next prime (14133434423).

It can be written as a sum of positive squares in 6 ways, for example, as 45643536 + 14087790864 = 6756^2 + 118692^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6687744 + ... + 6689856.

Almost surely, 2^14133434400 is an apocalyptic number.

14133434400 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 14133434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24957640890).

14133434400 is an abundant number, since it is smaller than the sum of its proper divisors (35781847380).

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

14133434400 is a wasteful number, since it uses less digits than its factorization.

14133434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14133434400 its reverse (443433141), we get a palindrome (14576867541).

The spelling of 14133434400 in words is "fourteen billion, one hundred thirty-three million, four hundred thirty-four thousand, four hundred".