400408004084 has 48 divisors (see below), whose sum is σ = 772364279232. Its totient is φ = 180112800000.

The previous prime is 400408004083. The next prime is 400408004173. The reversal of 400408004084 is 480400804004.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 400408004084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400408004081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9449024 + ... + 9491304.

It is an arithmetic number, because the mean of its divisors is an integer number (16090922484).

Almost surely, 2^400408004084 is an apocalyptic number.

400408004084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400408004084 is a deficient number, since it is larger than the sum of its proper divisors (371956275148).

400408004084 is a wasteful number, since it uses less digits than its factorization.

400408004084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44528 (or 44526 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 400408004084 its reverse (480400804004), we get a palindrome (880808808088).

The spelling of 400408004084 in words is "four hundred billion, four hundred eight million, four thousand, eighty-four".