26407561623040 has 320 divisors, whose sum is σ = 69537319701696. Its totient is φ = 9557695660032.

The previous prime is 26407561623007. The next prime is 26407561623041. The reversal of 26407561623040 is 4032616570462.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26407561623041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2093671774 + ... + 2093684386.

Almost surely, 2^{26407561623040} is an apocalyptic number.

26407561623040 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 26407561623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34768659850848).

26407561623040 is an abundant number, since it is smaller than the sum of its proper divisors (43129758078656).

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

26407561623040 is a wasteful number, since it uses less digits than its factorization.

26407561623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13889 (or 13873 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 26407561623040 in words is "twenty-six trillion, four hundred seven billion, five hundred sixty-one million, six hundred twenty-three thousand, forty".