26641446400 has 240 divisors, whose sum is σ = 67938379344. Its totient is φ = 10349281280.

The previous prime is 26641446389. The next prime is 26641446409. The reversal of 26641446400 is 464414662.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26641446400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26641446409) 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, 117363087 + ... + 117363313.

Almost surely, 2^26641446400 is an apocalyptic number.

26641446400 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 26641446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33969189672).

26641446400 is an abundant number, since it is smaller than the sum of its proper divisors (41296932944).

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

26641446400 is a wasteful number, since it uses less digits than its factorization.

26641446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 26641446400 in words is "twenty-six billion, six hundred forty-one million, four hundred forty-six thousand, four hundred".