14458681440 has 480 divisors, whose sum is σ = 59575025664. Its totient is φ = 3233571840.

The previous prime is 14458681439. The next prime is 14458681459. The reversal of 14458681440 is 4418685441.

14458681440 is a `hidden beast` number, since 1 + 445 + 8 + 68 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 4262145 + ... + 4265535.

Almost surely, 2^14458681440 is an apocalyptic number.

14458681440 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 14458681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29787512832).

14458681440 is an abundant number, since it is smaller than the sum of its proper divisors (45116344224).

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

14458681440 is a wasteful number, since it uses less digits than its factorization.

14458681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 14458681440 in words is "fourteen billion, four hundred fifty-eight million, six hundred eighty-one thousand, four hundred forty".