8040408080208 has 160 divisors (see below), whose sum is σ = 24131353946880. Its totient is φ = 2259238625280.

The previous prime is 8040408080101. The next prime is 8040408080249. The reversal of 8040408080208 is 8020808040408.

It is a super-2 number, since 2×8040408080208² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8040408080208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144612478 + ... + 144668066.

It is an arithmetic number, because the mean of its divisors is an integer number (150820962168).

Almost surely, 2^{8040408080208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8040408080208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065676973440).

8040408080208 is an abundant number, since it is smaller than the sum of its proper divisors (16090945866672).

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

8040408080208 is a wasteful number, since it uses less digits than its factorization.

8040408080208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62725 (or 62719 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 8040408080208 in words is "eight trillion, forty billion, four hundred eight million, eighty thousand, two hundred eight".