26444471040 has 972 divisors, whose sum is σ = 107484590304. Its totient is φ = 5996150784.

The previous prime is 26444471033. The next prime is 26444471047. The reversal of 26444471040 is 4017444462.

26444471040 is a `hidden beast` number, since 2 + 644 + 4 + 4 + 7 + 1 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26444471033) and next prime (26444471047).

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 = 26444470986 and 26444471004.

It is not an unprimeable number, because it can be changed into a prime (26444471047) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 562648297 + ... + 562648343.

Almost surely, 2^26444471040 is an apocalyptic number.

26444471040 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 26444471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53742295152).

26444471040 is an abundant number, since it is smaller than the sum of its proper divisors (81040119264).

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

26444471040 is a wasteful number, since it uses less digits than its factorization.

26444471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 26444471040 in words is "twenty-six billion, four hundred forty-four million, four hundred seventy-one thousand, forty".