16771167440 has 20 divisors (see below), whose sum is σ = 38992964484. Its totient is φ = 6708466944.

The previous prime is 16771167433. The next prime is 16771167473. The reversal of 16771167440 is 4476117761.

It can be written as a sum of positive squares in 2 ways, for example, as 7784885824 + 8986281616 = 88232^2 + 94796^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 16771167391 and 16771167400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104819717 + ... + 104819876.

Almost surely, 2^16771167440 is an apocalyptic number.

16771167440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16771167440 is an abundant number, since it is smaller than the sum of its proper divisors (22221797044).

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

16771167440 is a wasteful number, since it uses less digits than its factorization.

16771167440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209639606 (or 209639600 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 16771167440 in words is "sixteen billion, seven hundred seventy-one million, one hundred sixty-seven thousand, four hundred forty".