14491344400 has 135 divisors (see below), whose sum is σ = 37781175879. Its totient is φ = 5339093760.

The previous prime is 14491344397. The next prime is 14491344401. The reversal of 14491344400 is 444319441.

The square root of 14491344400 is 120380.

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 3735165456 + 10756178944 = 61116^2 + 103712^2 .

It is a super-2 number, since 2×14491344400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14491344401) 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, 31298569 + ... + 31299031.

Almost surely, 2^14491344400 is an apocalyptic number.

14491344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14491344400 is the 120380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14491344400

14491344400 is an abundant number, since it is smaller than the sum of its proper divisors (23289831479).

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

14491344400 is an equidigital number, since it uses as much as digits as its factorization.

14491344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 14491344400 in words is "fourteen billion, four hundred ninety-one million, three hundred forty-four thousand, four hundred".