26141262400 has 168 divisors, whose sum is σ = 70314945984. Its totient is φ = 9486489600.

The previous prime is 26141262373. The next prime is 26141262401. The reversal of 26141262400 is 426214162.

It is not an unprimeable number, because it can be changed into a prime (26141262401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10787589 + ... + 10790011.

Almost surely, 2^26141262400 is an apocalyptic number.

26141262400 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 26141262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35157472992).

26141262400 is an abundant number, since it is smaller than the sum of its proper divisors (44173683584).

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

26141262400 is a wasteful number, since it uses less digits than its factorization.

26141262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 26141262400 its reverse (426214162), we get a palindrome (26567476562).

The spelling of 26141262400 in words is "twenty-six billion, one hundred forty-one million, two hundred sixty-two thousand, four hundred".