14428400403456 has 352 divisors, whose sum is σ = 48017620734720. Its totient is φ = 4246483304448.

The previous prime is 14428400403407. The next prime is 14428400403589. The reversal of 14428400403456 is 65430400482441.

It is a happy number.

14428400403456 is a `hidden beast` number, since 144 + 28 + 40 + 0 + 403 + 45 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7394076 + ... + 9139428.

Almost surely, 2^{14428400403456} is an apocalyptic number.

14428400403456 is a gapful number since it is divisible by the number (16) 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 14428400403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008810367360).

14428400403456 is an abundant number, since it is smaller than the sum of its proper divisors (33589220331264).

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

14428400403456 is a wasteful number, since it uses less digits than its factorization.

14428400403456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745418 (or 1745394 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

Adding to 14428400403456 its reverse (65430400482441), we get a palindrome (79858800885897).

The spelling of 14428400403456 in words is "fourteen trillion, four hundred twenty-eight billion, four hundred million, four hundred three thousand, four hundred fifty-six".