14522941440 has 768 divisors, whose sum is σ = 60963278400. Its totient is φ = 3269984256.

The previous prime is 14522941423. The next prime is 14522941463. The reversal of 14522941440 is 4414922541.

14522941440 is a `hidden beast` number, since 1 + 4 + 522 + 94 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 14522941395 and 14522941404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216760287 + ... + 216760353.

Almost surely, 2^14522941440 is an apocalyptic number.

14522941440 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 14522941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481639200).

14522941440 is an abundant number, since it is smaller than the sum of its proper divisors (46440336960).

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

14522941440 is an frugal number, since it uses more digits than its factorization.

14522941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14522941440 in words is "fourteen billion, five hundred twenty-two million, nine hundred forty-one thousand, four hundred forty".