14409601600 has 63 divisors (see below), whose sum is σ = 35468444811. Its totient is φ = 5761920000.

The previous prime is 14409601589. The next prime is 14409601607. The reversal of 14409601600 is 610690441.

The square root of 14409601600 is 120040.

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 155151936 + 14254449664 = 12456^2 + 119392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14409601607) 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 8 ways as a sum of consecutive naturals, for example, 4800100 + ... + 4803100.

Almost surely, 2^14409601600 is an apocalyptic number.

14409601600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14409601600 is the 120040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14409601600

14409601600 is an abundant number, since it is smaller than the sum of its proper divisors (21058843211).

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

14409601600 is an frugal number, since it uses more digits than its factorization.

14409601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 14409601600 by its product of nonzero digits (5184), we get a square (74699374694400 = 8642880²).

The spelling of 14409601600 in words is "fourteen billion, four hundred nine million, six hundred one thousand, six hundred".