26441292240 has 640 divisors, whose sum is σ = 107478835200. Its totient is φ = 5904783360.

The previous prime is 26441292217. The next prime is 26441292287. The reversal of 26441292240 is 4229214462.

26441292240 is a `hidden beast` number, since 2 + 644 + 1 + 2 + 9 + 2 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26441292195 and 26441292204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16702489 + ... + 16704071.

It is an arithmetic number, because the mean of its divisors is an integer number (167935680).

Almost surely, 2^26441292240 is an apocalyptic number.

26441292240 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 26441292240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53739417600).

26441292240 is an abundant number, since it is smaller than the sum of its proper divisors (81037542960).

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

26441292240 is a wasteful number, since it uses less digits than its factorization.

26441292240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26441292240 in words is "twenty-six billion, four hundred forty-one million, two hundred ninety-two thousand, two hundred forty".