26413017400 has 144 divisors (see below), whose sum is σ = 77143968720. Its totient is φ = 8232576000.

The previous prime is 26413017383. The next prime is 26413017401. The reversal of 26413017400 is 471031462.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26413017401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91440 + ... + 247360.

It is an arithmetic number, because the mean of its divisors is an integer number (535722005).

Almost surely, 2^26413017400 is an apocalyptic number.

26413017400 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 26413017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38571984360).

26413017400 is an abundant number, since it is smaller than the sum of its proper divisors (50730951320).

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

26413017400 is a wasteful number, since it uses less digits than its factorization.

26413017400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155966 (or 155946 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 26413017400 its reverse (471031462), we get a palindrome (26884048862).

It can be divided in two parts, 264 and 13017400, that added together give a square (13017664 = 3608²).

The spelling of 26413017400 in words is "twenty-six billion, four hundred thirteen million, seventeen thousand, four hundred".