16271405440 has 64 divisors (see below), whose sum is σ = 40946166000. Its totient is φ = 6166001664.

The previous prime is 16271405431. The next prime is 16271405443. The reversal of 16271405440 is 4450417261.

16271405440 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 16271405396 and 16271405405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16271405443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 656895 + ... + 681214.

Almost surely, 2^16271405440 is an apocalyptic number.

16271405440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16271405440 is an abundant number, since it is smaller than the sum of its proper divisors (24674760560).

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

16271405440 is a wasteful number, since it uses less digits than its factorization.

16271405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338147 (or 1338135 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 16271405440 in words is "sixteen billion, two hundred seventy-one million, four hundred five thousand, four hundred forty".