26261366040 has 768 divisors, whose sum is σ = 114224947200. Its totient is φ = 5076172800.

The previous prime is 26261366023. The next prime is 26261366077. The reversal of 26261366040 is 4066316262.

26261366040 is a `hidden beast` number, since 26 + 26 + 1 + 3 + 6 + 604 + 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 = 26261365986 and 26261366004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19294960 + ... + 19296320.

It is an arithmetic number, because the mean of its divisors is an integer number (148730400).

Almost surely, 2^26261366040 is an apocalyptic number.

26261366040 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 26261366040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57112473600).

26261366040 is an abundant number, since it is smaller than the sum of its proper divisors (87963581160).

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

26261366040 is a wasteful number, since it uses less digits than its factorization.

26261366040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 26261366040 in words is "twenty-six billion, two hundred sixty-one million, three hundred sixty-six thousand, forty".