8080808040400 has 120 divisors (see below), whose sum is σ = 19640873986200. Its totient is φ = 3194686464000.

The previous prime is 8080808040313. The next prime is 8080808040407. The reversal of 8080808040400 is 40408080808.

It can be written as a sum of positive squares in 12 ways, for example, as 462258570816 + 7618549469584 = 679896^2 + 2760172^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8080808040407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22811836 + ... + 23163364.

It is an arithmetic number, because the mean of its divisors is an integer number (163673949885).

Almost surely, 2^{8080808040400} is an apocalyptic number.

8080808040400 is a gapful number since it is divisible by the number (80) 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 8080808040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820436993100).

8080808040400 is an abundant number, since it is smaller than the sum of its proper divisors (11560065945800).

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

8080808040400 is a wasteful number, since it uses less digits than its factorization.

8080808040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352217 (or 352206 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 8080808040400 in words is "eight trillion, eighty billion, eight hundred eight million, forty thousand, four hundred".