14154481440 has 144 divisors (see below), whose sum is σ = 52693333056. Its totient is φ = 3431385600.

The previous prime is 14154481417. The next prime is 14154481459. The reversal of 14154481440 is 4418445141.

14154481440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 14154481395 and 14154481404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430956 + ... + 462635.

It is an arithmetic number, because the mean of its divisors is an integer number (365925924).

Almost surely, 2^14154481440 is an apocalyptic number.

14154481440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14154481440 is an abundant number, since it is smaller than the sum of its proper divisors (38538851616).

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

14154481440 is a wasteful number, since it uses less digits than its factorization.

14154481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893623 (or 893612 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

It can be divided in two parts, 14154 and 481440, that added together give a palindrome (495594).

The spelling of 14154481440 in words is "fourteen billion, one hundred fifty-four million, four hundred eighty-one thousand, four hundred forty".