26480701440 has 624 divisors, whose sum is σ = 101109441888. Its totient is φ = 6624903168.

The previous prime is 26480701439. The next prime is 26480701453. The reversal of 26480701440 is 4410708462.

26480701440 is a `hidden beast` number, since 2 + 648 + 0 + 7 + 0 + 1 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26480701395 and 26480701404.

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, 84602724 + ... + 84603036.

It is an arithmetic number, because the mean of its divisors is an integer number (162034362).

Almost surely, 2^26480701440 is an apocalyptic number.

26480701440 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 26480701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50554720944).

26480701440 is an abundant number, since it is smaller than the sum of its proper divisors (74628740448).

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

26480701440 is an equidigital number, since it uses as much as digits as its factorization.

26480701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 26480701440 in words is "twenty-six billion, four hundred eighty million, seven hundred one thousand, four hundred forty".