26226140040 has 256 divisors, whose sum is σ = 97435872000. Its totient is φ = 6235729920.

The previous prime is 26226140033. The next prime is 26226140069. The reversal of 26226140040 is 4004162262.

26226140040 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 614 + 0 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 26226139986 and 26226140013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311250 + ... + 386430.

It is an arithmetic number, because the mean of its divisors is an integer number (380608875).

Almost surely, 2^26226140040 is an apocalyptic number.

26226140040 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 26226140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48717936000).

26226140040 is an abundant number, since it is smaller than the sum of its proper divisors (71209731960).

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

26226140040 is a wasteful number, since it uses less digits than its factorization.

26226140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75237 (or 75227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 26226140040 in words is "twenty-six billion, two hundred twenty-six million, one hundred forty thousand, forty".