14438269440 has 1000 divisors, whose sum is σ = 62408912940. Its totient is φ = 3186376704.

The previous prime is 14438269421. The next prime is 14438269477. The reversal of 14438269440 is 4496283441.

14438269440 is a `hidden beast` number, since 1 + 443 + 82 + 6 + 94 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14388482304 + 49787136 = 119952^2 + 7056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 497871346 + ... + 497871374.

Almost surely, 2^14438269440 is an apocalyptic number.

14438269440 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 14438269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31204456470).

14438269440 is an abundant number, since it is smaller than the sum of its proper divisors (47970643500).

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

14438269440 is an frugal number, since it uses more digits than its factorization.

14438269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 14438269440 in words is "fourteen billion, four hundred thirty-eight million, two hundred sixty-nine thousand, four hundred forty".