801408008000 has 56 divisors (see below), whose sum is σ = 1984686951624. Its totient is φ = 320563200000.

The previous prime is 801408007999. The next prime is 801408008003. The reversal of 801408008000 is 800804108.

It can be written as a sum of positive squares in 4 ways, for example, as 225480256 + 801182527744 = 15016^2 + 895088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801408008003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50080001 + ... + 50096000.

Almost surely, 2^801408008000 is an apocalyptic number.

801408008000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801408008000 is an abundant number, since it is smaller than the sum of its proper divisors (1183278943624).

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

801408008000 is a wasteful number, since it uses less digits than its factorization.

801408008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100176028 (or 100176008 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The spelling of 801408008000 in words is "eight hundred one billion, four hundred eight million, eight thousand".