14442400320 has 112 divisors (see below), whose sum is σ = 48552006528. Its totient is φ = 3624755200.

The previous prime is 14442400283. The next prime is 14442400331. The reversal of 14442400320 is 2300424441.

It is a happy number.

It is a super-2 number, since 2×14442400320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426156 + ... + 458795.

Almost surely, 2^14442400320 is an apocalyptic number.

14442400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442400320 is an abundant number, since it is smaller than the sum of its proper divisors (34109606208).

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

14442400320 is a wasteful number, since it uses less digits than its factorization.

14442400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884988 (or 884978 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14442400320 its reverse (2300424441), we get a palindrome (16742824761).

The spelling of 14442400320 in words is "fourteen billion, four hundred forty-two million, four hundred thousand, three hundred twenty".