26394417113400 has 960 divisors, whose sum is σ = 107317207092480. Its totient is φ = 5886494208000.

The previous prime is 26394417113347. The next prime is 26394417113401. The reversal of 26394417113400 is 431171449362.

It is a happy number.

26394417113400 is a `hidden beast` number, since 2 + 6 + 3 + 9 + 441 + 71 + 134 + 0 + 0 = 666.

It is a super-2 number, since 2×26394417113400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26394417113401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5856313947 + ... + 5856318453.

It is an arithmetic number, because the mean of its divisors is an integer number (111788757388).

Almost surely, 2^{26394417113400} is an apocalyptic number.

26394417113400 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 26394417113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53658603546240).

26394417113400 is an abundant number, since it is smaller than the sum of its proper divisors (80922789979080).

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

26394417113400 is a wasteful number, since it uses less digits than its factorization.

26394417113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 26394417113400 in words is "twenty-six trillion, three hundred ninety-four billion, four hundred seventeen million, one hundred thirteen thousand, four hundred".