26042234456448 has 384 divisors, whose sum is σ = 86526655488000. Its totient is φ = 7364311105536.

The previous prime is 26042234456401. The next prime is 26042234456453. The reversal of 26042234456448 is 84465443224062.

It is a happy number.

26042234456448 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 2 + 2 + 34 + 4 + 564 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 26042234456394 and 26042234456403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429079288 + ... + 429139976.

It is an arithmetic number, because the mean of its divisors is an integer number (225329832000).

Almost surely, 2^{26042234456448} is an apocalyptic number.

26042234456448 is a gapful number since it is divisible by the number (28) 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 26042234456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43263327744000).

26042234456448 is an abundant number, since it is smaller than the sum of its proper divisors (60484421031552).

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

26042234456448 is a wasteful number, since it uses less digits than its factorization.

26042234456448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61262 (or 61247 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 54.

The spelling of 26042234456448 in words is "twenty-six trillion, forty-two billion, two hundred thirty-four million, four hundred fifty-six thousand, four hundred forty-eight".