14755789440 has 960 divisors, whose sum is σ = 63356669640. Its totient is φ = 3260694528.

The previous prime is 14755789439. The next prime is 14755789453. The reversal of 14755789440 is 4498755741.

14755789440 is a `hidden beast` number, since 1 + 4 + 7 + 557 + 89 + 4 + 4 + 0 = 666.

14755789440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13089190464 + 1666598976 = 114408^2 + 40824^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 93985842 + ... + 93985998.

Almost surely, 2^14755789440 is an apocalyptic number.

14755789440 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 14755789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31678334820).

14755789440 is an abundant number, since it is smaller than the sum of its proper divisors (48600880200).

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

14755789440 is a wasteful number, since it uses less digits than its factorization.

14755789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 14755789440 in words is "fourteen billion, seven hundred fifty-five million, seven hundred eighty-nine thousand, four hundred forty".