26112417240 has 256 divisors, whose sum is σ = 99526533120. Its totient is φ = 5331640320.

The previous prime is 26112417229. The next prime is 26112417301. The reversal of 26112417240 is 4271421162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26112417198 and 26112417207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299952 + ... + 377088.

It is an arithmetic number, because the mean of its divisors is an integer number (388775520).

Almost surely, 2^26112417240 is an apocalyptic number.

26112417240 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 26112417240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49763266560).

26112417240 is an abundant number, since it is smaller than the sum of its proper divisors (73414115880).

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

26112417240 is a wasteful number, since it uses less digits than its factorization.

26112417240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77202 (or 77198 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 26112417240 in words is "twenty-six billion, one hundred twelve million, four hundred seventeen thousand, two hundred forty".