400204402000 has 80 divisors (see below), whose sum is σ = 1042132330512. Its totient is φ = 147767769600.

The previous prime is 400204401979. The next prime is 400204402033. The reversal of 400204402000 is 204402004.

It can be written as a sum of positive squares in 8 ways, for example, as 209888594496 + 190315807504 = 458136^2 + 436252^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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, 7670239 + ... + 7722238.

Almost surely, 2^400204402000 is an apocalyptic number.

400204402000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400204402000 is an abundant number, since it is smaller than the sum of its proper divisors (641927928512).

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

400204402000 is a wasteful number, since it uses less digits than its factorization.

400204402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392513 (or 15392497 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 400204402000 its reverse (204402004), we get a palindrome (400408804004).

The spelling of 400204402000 in words is "four hundred billion, two hundred four million, four hundred two thousand".