26440916351220 has 1728 divisors, whose sum is σ = 105707640729600. Its totient is φ = 5300370432000.

The previous prime is 26440916351219. The next prime is 26440916351249. The reversal of 26440916351220 is 2215361904462.

26440916351220 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 0 + 9 + 1 + 635 + 1 + 2 + 2 + 0 = 666.

It is a super-3 number, since 3×26440916351220³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 73651577401 + ... + 73651577759.

It is an arithmetic number, because the mean of its divisors is an integer number (61173403200).

Almost surely, 2^{26440916351220} is an apocalyptic number.

26440916351220 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 26440916351220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52853820364800).

26440916351220 is an abundant number, since it is smaller than the sum of its proper divisors (79266724378380).

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

26440916351220 is a wasteful number, since it uses less digits than its factorization.

26440916351220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 26440916351220 in words is "twenty-six trillion, four hundred forty billion, nine hundred sixteen million, three hundred fifty-one thousand, two hundred twenty".