10872441405 has 64 divisors (see below), whose sum is σ = 22157414400. Its totient is φ = 4955100480.

The previous prime is 10872441403. The next prime is 10872441413. The reversal of 10872441405 is 50414427801.

It is a happy number.

10872441405 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 244 + 1 + 405 = 666.

It is not a de Polignac number, because 10872441405 - 2¹ = 10872441403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10872441405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10872441403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295416 + ... + 330174.

It is an arithmetic number, because the mean of its divisors is an integer number (346209600).

Almost surely, 2^10872441405 is an apocalyptic number.

10872441405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10872441405 is an abundant number, since it is smaller than the sum of its proper divisors (11284972995).

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

10872441405 is a wasteful number, since it uses less digits than its factorization.

10872441405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35111 (or 35105 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 10872441405 its sum of digits (36), we get a square (10872441441 = 104271²).

The spelling of 10872441405 in words is "ten billion, eight hundred seventy-two million, four hundred forty-one thousand, four hundred five".