402313202313204 has 1728 divisors, whose sum is σ = 1359506258288640. Its totient is φ = 91450637107200.

The previous prime is 402313202313173. The next prime is 402313202313259.

It is a happy number.

402313202313204 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 182289623869 + ... + 182289626075.

It is an arithmetic number, because the mean of its divisors is an integer number (786751306880).

Almost surely, 2^{402313202313204} 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 402313202313204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679753129144320).

402313202313204 is an abundant number, since it is smaller than the sum of its proper divisors (957193055975436).

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

402313202313204 is a wasteful number, since it uses less digits than its factorization.

402313202313204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 40231320 and 2313204, that added together give a palindrome (42544524).

The spelling of 402313202313204 in words is "four hundred two trillion, three hundred thirteen billion, two hundred two million, three hundred thirteen thousand, two hundred four".