400000004000 has 96 divisors (see below), whose sum is σ = 1040611952016. Its totient is φ = 150588211200.

The previous prime is 400000003987. The next prime is 400000004039. The reversal of 400000004000 is 400000004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 83791723024 + 316208280976 = 289468^2 + 562324^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2873177 + ... + 3009176.

Almost surely, 2^400000004000 is an apocalyptic number.

400000004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400000004000 is an abundant number, since it is smaller than the sum of its proper divisors (640611948016).

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

400000004000 is a wasteful number, since it uses less digits than its factorization.

400000004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882395 (or 5882377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 400000004000 its reverse (400000004), we get a palindrome (400400004004).

400000004000 divided by its reverse (400000004) gives a cube (1000 = 10³).

It can be divided in two parts, 40000000 and 4000, that multiplied together give a square (160000000000 = 400000²).

The spelling of 400000004000 in words is "four hundred billion, four thousand".