26630410240 has 416 divisors, whose sum is σ = 79262668800. Its totient is φ = 8554807296.

The previous prime is 26630410187. The next prime is 26630410253. The reversal of 26630410240 is 4201403662.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 26630410199 and 26630410208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119418769 + ... + 119418991.

Almost surely, 2^26630410240 is an apocalyptic number.

26630410240 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 26630410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39631334400).

26630410240 is an abundant number, since it is smaller than the sum of its proper divisors (52632258560).

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

26630410240 is an equidigital number, since it uses as much as digits as its factorization.

26630410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 26630410240 in words is "twenty-six billion, six hundred thirty million, four hundred ten thousand, two hundred forty".