400404004004 has 12 divisors (see below), whose sum is σ = 700719278364. Its totient is φ = 200198495904.

The previous prime is 400404004003. The next prime is 400404004027. The reversal of 400404004004 is 400400404004.

It can be written as a sum of positive squares in 2 ways, for example, as 345367782400 + 55036221604 = 587680^2 + 234598^2 .

It is not an unprimeable number, because it can be changed into a prime (400404004001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 610607 + ... + 1083350.

It is an arithmetic number, because the mean of its divisors is an integer number (58393273197).

Almost surely, 2^400404004004 is an apocalyptic number.

It is an amenable number.

400404004004 is a deficient number, since it is larger than the sum of its proper divisors (300315274360).

400404004004 is a wasteful number, since it uses less digits than its factorization.

400404004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753054 (or 1753052 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 400404004004 its reverse (400400404004), we get a palindrome (800804408008).

The spelling of 400404004004 in words is "four hundred billion, four hundred four million, four thousand, four".