26404518408400 has 540 divisors, whose sum is σ = 74178986741860. Its totient is φ = 9023680512000.

The previous prime is 26404518408319. The next prime is 26404518408421. The reversal of 26404518408400 is 480481540462.

It can be written as a sum of positive squares in 18 ways, for example, as 9380180293264 + 17024338115136 = 3062708^2 + 4126056^2 .

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 18477618886 + ... + 18477620314.

Almost surely, 2^{26404518408400} is an apocalyptic number.

26404518408400 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 26404518408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37089493370930).

26404518408400 is an abundant number, since it is smaller than the sum of its proper divisors (47774468333460).

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

26404518408400 is a wasteful number, since it uses less digits than its factorization.

26404518408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 46.

Adding to 26404518408400 its reverse (480481540462), we get a palindrome (26884999948862).

The spelling of 26404518408400 in words is "twenty-six trillion, four hundred four billion, five hundred eighteen million, four hundred eight thousand, four hundred".