26241100611444 has 18 divisors (see below), whose sum is σ = 66331670990130. Its totient is φ = 8747033537136.

The previous prime is 26241100611433. The next prime is 26241100611491. The reversal of 26241100611444 is 44411600114262.

26241100611444 is a `hidden beast` number, since 2 + 6 + 24 + 1 + 10 + 0 + 611 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26184712410000 + 56388201444 = 5117100^2 + 237462^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×26241100611444² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 728919461429 = 26241100611444 / (2 + 6 + 2 + 4 + 1 + 1 + 0 + 0 + 6 + 1 + 1 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 26241100611399 and 26241100611408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364459730679 + ... + 364459730750.

It is an arithmetic number, because the mean of its divisors is an integer number (3685092832785).

Almost surely, 2^{26241100611444} is an apocalyptic number.

It is an amenable number.

26241100611444 is an abundant number, since it is smaller than the sum of its proper divisors (40090570378686).

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

26241100611444 is a wasteful number, since it uses less digits than its factorization.

26241100611444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728919461439 (or 728919461434 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 26241100611444 in words is "twenty-six trillion, two hundred forty-one billion, one hundred million, six hundred eleven thousand, four hundred forty-four".