14404220140320 has 144 divisors (see below), whose sum is σ = 49159517916600. Its totient is φ = 3840725532672.

The previous prime is 14404220140273. The next prime is 14404220140361. The reversal of 14404220140320 is 2304102240441.

14404220140320 is a `hidden beast` number, since 1 + 4 + 404 + 220 + 1 + 4 + 0 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12335352157584 + 2068867982736 = 3512172^2 + 1438356^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13447906 + ... + 14479454.

Almost surely, 2^{14404220140320} is an apocalyptic number.

14404220140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14404220140320 is an abundant number, since it is smaller than the sum of its proper divisors (34755297776280).

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

14404220140320 is a wasteful number, since it uses less digits than its factorization.

14404220140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041267 (or 1041256 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14404220140320 its reverse (2304102240441), we get a palindrome (16708322380761).

The spelling of 14404220140320 in words is "fourteen trillion, four hundred four billion, two hundred twenty million, one hundred forty thousand, three hundred twenty".