402333242333204 has 288 divisors, whose sum is σ = 891547299062784. Its totient is φ = 157459051975680.

The previous prime is 402333242333173. The next prime is 402333242333213.

402333242333204 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165093655874 + ... + 165093658310.

It is an arithmetic number, because the mean of its divisors is an integer number (3095650343968).

Almost surely, 2^{402333242333204} 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 402333242333204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445773649531392).

402333242333204 is an abundant number, since it is smaller than the sum of its proper divisors (489214056729580).

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

402333242333204 is a wasteful number, since it uses less digits than its factorization.

402333242333204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 38.

The spelling of 402333242333204 in words is "four hundred two trillion, three hundred thirty-three billion, two hundred forty-two million, three hundred thirty-three thousand, two hundred four".