27106434040 has 128 divisors (see below), whose sum is σ = 73983974400. Its totient is φ = 8725432320.

The previous prime is 27106434001. The next prime is 27106434049. The reversal of 27106434040 is 4043460172.

It is a junction number, because it is equal to n+sod(n) for n = 27106433993 and 27106434011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27106434049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1987645 + ... + 2001235.

It is an arithmetic number, because the mean of its divisors is an integer number (577999800).

Almost surely, 2^27106434040 is an apocalyptic number.

27106434040 is a gapful number since it is divisible by the number (20) 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 27106434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36991987200).

27106434040 is an abundant number, since it is smaller than the sum of its proper divisors (46877540360).

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

27106434040 is a wasteful number, since it uses less digits than its factorization.

27106434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14045 (or 14041 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 27106434040 in words is "twenty-seven billion, one hundred six million, four hundred thirty-four thousand, forty".