14299376400 has 135 divisors (see below), whose sum is σ = 49647719199. Its totient is φ = 3811253760.

The previous prime is 14299376393. The next prime is 14299376401. The reversal of 14299376400 is 467399241.

It is a happy number.

The square root of 14299376400 is 119580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 140280336 + 14159096064 = 11844^2 + 118992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14299376401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7173804 + ... + 7175796.

Almost surely, 2^14299376400 is an apocalyptic number.

14299376400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14299376400 is the 119580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14299376400

14299376400 is an abundant number, since it is smaller than the sum of its proper divisors (35348342799).

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

14299376400 is an equidigital number, since it uses as much as digits as its factorization.

14299376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 14299376400 in words is "fourteen billion, two hundred ninety-nine million, three hundred seventy-six thousand, four hundred".