400204412000 has 96 divisors (see below), whose sum is σ = 1041143725440. Its totient is φ = 150665164800.

The previous prime is 400204411963. The next prime is 400204412009. The reversal of 400204412000 is 214402004.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 400204412000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400204412009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2874680 + ... + 3010679.

It is an arithmetic number, because the mean of its divisors is an integer number (10845247140).

Almost surely, 2^400204412000 is an apocalyptic number.

400204412000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400204412000 is an abundant number, since it is smaller than the sum of its proper divisors (640939313440).

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

400204412000 is a wasteful number, since it uses less digits than its factorization.

400204412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885401 (or 5885383 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 400204412000 its reverse (214402004), we get a palindrome (400418814004).

The spelling of 400204412000 in words is "four hundred billion, two hundred four million, four hundred twelve thousand".