402144442400 has 36 divisors (see below), whose sum is σ = 981735121962. Its totient is φ = 160857776640.

The previous prime is 402144442391. The next prime is 402144442421. The reversal of 402144442400 is 4244441204.

It can be written as a sum of positive squares in 3 ways, for example, as 336692383504 + 65452058896 = 580252^2 + 255836^2 .

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 5 ways as a sum of consecutive naturals, for example, 251339477 + ... + 251341076.

Almost surely, 2^402144442400 is an apocalyptic number.

402144442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402144442400 is an abundant number, since it is smaller than the sum of its proper divisors (579590679562).

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

402144442400 is a wasteful number, since it uses less digits than its factorization.

402144442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502680573 (or 502680560 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 402144442400 its reverse (4244441204), we get a palindrome (406388883604).

The spelling of 402144442400 in words is "four hundred two billion, one hundred forty-four million, four hundred forty-two thousand, four hundred".