14457421440 has 768 divisors, whose sum is σ = 63996791040. Its totient is φ = 2919628800.

The previous prime is 14457421399. The next prime is 14457421453. The reversal of 14457421440 is 4412475441.

14457421440 is a `hidden beast` number, since 1 + 44 + 574 + 2 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14457421395 and 14457421404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16409800 + ... + 16410680.

It is an arithmetic number, because the mean of its divisors is an integer number (83329155).

Almost surely, 2^14457421440 is an apocalyptic number.

14457421440 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 14457421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31998395520).

14457421440 is an abundant number, since it is smaller than the sum of its proper divisors (49539369600).

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

14457421440 is a wasteful number, since it uses less digits than its factorization.

14457421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 14457421440 its reverse (4412475441), we get a palindrome (18869896881).

The spelling of 14457421440 in words is "fourteen billion, four hundred fifty-seven million, four hundred twenty-one thousand, four hundred forty".