26642360040 has 128 divisors (see below), whose sum is σ = 84340051200. Its totient is φ = 6719313920.

The previous prime is 26642360029. The next prime is 26642360051. The reversal of 26642360040 is 4006324662.

It is an interprime number because it is at equal distance from previous prime (26642360029) and next prime (26642360051).

It is a junction number, because it is equal to n+sod(n) for n = 26642359983 and 26642360010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 191410 + ... + 299870.

It is an arithmetic number, because the mean of its divisors is an integer number (658906650).

Almost surely, 2^26642360040 is an apocalyptic number.

26642360040 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 26642360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42170025600).

26642360040 is an abundant number, since it is smaller than the sum of its proper divisors (57697691160).

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

26642360040 is a wasteful number, since it uses less digits than its factorization.

26642360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108587 (or 108583 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 26642360040 in words is "twenty-six billion, six hundred forty-two million, three hundred sixty thousand, forty".