402204400312 has 128 divisors (see below), whose sum is σ = 937035590400. Its totient is φ = 159115622400.

The previous prime is 402204400291. The next prime is 402204400313. The reversal of 402204400312 is 213004402204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402204400313) 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 31 ways as a sum of consecutive naturals, for example, 4542448 + ... + 4630144.

It is an arithmetic number, because the mean of its divisors is an integer number (7320590550).

Almost surely, 2^402204400312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402204400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468517795200).

402204400312 is an abundant number, since it is smaller than the sum of its proper divisors (534831190088).

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

402204400312 is a wasteful number, since it uses less digits than its factorization.

402204400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87957 (or 87953 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 402204400312 its reverse (213004402204), we get a palindrome (615208802516).

The spelling of 402204400312 in words is "four hundred two billion, two hundred four million, four hundred thousand, three hundred twelve".