26341133126400 has 1512 divisors, whose sum is σ = 104454569323440. Its totient is φ = 6550373007360.

The previous prime is 26341133126333. The next prime is 26341133126507. The reversal of 26341133126400 is 462133114362.

26341133126400 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 1 + 1 + 3 + 3 + 1 + 2 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8962616131 + ... + 8962619069.

It is an arithmetic number, because the mean of its divisors is an integer number (69083709870).

Almost surely, 2^{26341133126400} is an apocalyptic number.

26341133126400 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 26341133126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52227284661720).

26341133126400 is an abundant number, since it is smaller than the sum of its proper divisors (78113436197040).

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

26341133126400 is a wasteful number, since it uses less digits than its factorization.

26341133126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3079 counting only the distinct ones).

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

The spelling of 26341133126400 in words is "twenty-six trillion, three hundred forty-one billion, one hundred thirty-three million, one hundred twenty-six thousand, four hundred".