402332141233204 has 384 divisors, whose sum is σ = 947977871081472. Its totient is φ = 145096865464320.

The previous prime is 402332141233171. The next prime is 402332141233219.

402332141233204 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 402332141233204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2479211314 + ... + 2479373590.

It is an arithmetic number, because the mean of its divisors is an integer number (2468692372608).

Almost surely, 2^{402332141233204} 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 402332141233204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473988935540736).

402332141233204 is an abundant number, since it is smaller than the sum of its proper divisors (545645729848268).

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

402332141233204 is a wasteful number, since it uses less digits than its factorization.

402332141233204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162535 (or 162533 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 402332141233204 in words is "four hundred two trillion, three hundred thirty-two billion, one hundred forty-one million, two hundred thirty-three thousand, two hundred four".