14399150400 has 252 divisors, whose sum is σ = 51296259612. Its totient is φ = 3830906880.

The previous prime is 14399150369. The next prime is 14399150401. The reversal of 14399150400 is 405199341.

It is a happy number.

14399150400 is a `hidden beast` number, since 14 + 3 + 99 + 150 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 467597376 + 13931553024 = 21624^2 + 118032^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14399150401) by changing a digit.

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, 8307934 + ... + 8309666.

Almost surely, 2^14399150400 is an apocalyptic number.

14399150400 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 14399150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648129806).

14399150400 is an abundant number, since it is smaller than the sum of its proper divisors (36897109212).

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

14399150400 is a wasteful number, since it uses less digits than its factorization.

14399150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 14399150400 in words is "fourteen billion, three hundred ninety-nine million, one hundred fifty thousand, four hundred".