80408800040800 has 432 divisors, whose sum is σ = 249165273776832. Its totient is φ = 25056461337600.

The previous prime is 80408800040797. The next prime is 80408800040843. The reversal of 80408800040800 is 804000880408.

It is a super-3 number, since 3×80408800040800³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2002041519 + ... + 2002081681.

It is an arithmetic number, because the mean of its divisors is an integer number (576771467076).

Almost surely, 2^{80408800040800} is an apocalyptic number.

80408800040800 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 80408800040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124582636888416).

80408800040800 is an abundant number, since it is smaller than the sum of its proper divisors (168756473736032).

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

80408800040800 is a wasteful number, since it uses less digits than its factorization.

80408800040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44851 (or 44831 counting only the distinct ones).

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

The spelling of 80408800040800 in words is "eighty trillion, four hundred eight billion, eight hundred million, forty thousand, eight hundred".