26210327040 has 240 divisors, whose sum is σ = 91132727400. Its totient is φ = 6961790976.

The previous prime is 26210327021. The next prime is 26210327047. The reversal of 26210327040 is 4072301262.

26210327040 is a `hidden beast` number, since 2 + 621 + 0 + 32 + 7 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22875957504 + 3334369536 = 151248^2 + 57744^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 26210326995 and 26210327013.

It is not an unprimeable number, because it can be changed into a prime (26210327047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6195646 + ... + 6199874.

Almost surely, 2^26210327040 is an apocalyptic number.

26210327040 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 26210327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45566363700).

26210327040 is an abundant number, since it is smaller than the sum of its proper divisors (64922400360).

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

26210327040 is a wasteful number, since it uses less digits than its factorization.

26210327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

It can be divided in two parts, 2621032 and 7040, that added together give a cube (2628072 = 138³).

The spelling of 26210327040 in words is "twenty-six billion, two hundred ten million, three hundred twenty-seven thousand, forty".