26413090438000 has 960 divisors, whose sum is σ = 79064270812800. Its totient is φ = 8494295040000.

The previous prime is 26413090437983. The next prime is 26413090438037. The reversal of 26413090438000 is 83409031462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 48822717730 + ... + 48822718270.

It is an arithmetic number, because the mean of its divisors is an integer number (82358615430).

Almost surely, 2^{26413090438000} is an apocalyptic number.

26413090438000 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 26413090438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39532135406400).

26413090438000 is an abundant number, since it is smaller than the sum of its proper divisors (52651180374800).

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

26413090438000 is a wasteful number, since it uses less digits than its factorization.

26413090438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

Adding to 26413090438000 its reverse (83409031462), we get a palindrome (26496499469462).

The spelling of 26413090438000 in words is "twenty-six trillion, four hundred thirteen billion, ninety million, four hundred thirty-eight thousand".