26419969855440 has 480 divisors, whose sum is σ = 102887045164800. Its totient is φ = 5950586363904.

The previous prime is 26419969855403. The next prime is 26419969855457. The reversal of 26419969855440 is 4455896991462.

26419969855440 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 9 + 9 + 69 + 8 + 554 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402103711 + ... + 402169409.

It is an arithmetic number, because the mean of its divisors is an integer number (214348010760).

Almost surely, 2^{26419969855440} is an apocalyptic number.

26419969855440 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 26419969855440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51443522582400).

26419969855440 is an abundant number, since it is smaller than the sum of its proper divisors (76467075309360).

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

26419969855440 is a wasteful number, since it uses less digits than its factorization.

26419969855440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66891 (or 66882 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 26419969855440 in words is "twenty-six trillion, four hundred nineteen billion, nine hundred sixty-nine million, eight hundred fifty-five thousand, four hundred forty".