26041917440 has 448 divisors, whose sum is σ = 81532293120. Its totient is φ = 7742423040.

The previous prime is 26041917439. The next prime is 26041917481. The reversal of 26041917440 is 4471914062.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26041917394 and 26041917403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72539981 + ... + 72540339.

Almost surely, 2^26041917440 is an apocalyptic number.

26041917440 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 26041917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40766146560).

26041917440 is an abundant number, since it is smaller than the sum of its proper divisors (55490375680).

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

26041917440 is a wasteful number, since it uses less digits than its factorization.

26041917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 26041917440 in words is "twenty-six billion, forty-one million, nine hundred seventeen thousand, four hundred forty".