800004000400 has 60 divisors (see below), whose sum is σ = 2096737768944. Its totient is φ = 290910544000.

The previous prime is 800004000391. The next prime is 800004000401. The reversal of 800004000400 is 4000400008.

It is a Harshad number since it is a multiple of its sum of digits (16).

800004000400 is a modest number, since divided by 4000400 gives 8000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (800004000401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90905146 + ... + 90913945.

Almost surely, 2^800004000400 is an apocalyptic number.

800004000400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800004000400 is an abundant number, since it is smaller than the sum of its proper divisors (1296733768544).

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

800004000400 is a wasteful number, since it uses less digits than its factorization.

800004000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181819120 (or 181819109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 800004000400 its reverse (4000400008), we get a palindrome (804004400408).

It can be divided in two parts, 80000 and 4000400, that added together give a square (4080400 = 2020²).

The spelling of 800004000400 in words is "eight hundred billion, four million, four hundred", and thus it is an aban number.