204413242314402 has 432 divisors, whose sum is σ = 518815982149920. Its totient is φ = 57959494686720.

The previous prime is 204413242314377. The next prime is 204413242314439.

204413242314402 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 1 + 3 + 242 + 3 + 1 + 4 + 402 = 666.

204413242314402 is nontrivially palindromic in base 10.

204413242314402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 579074340658 + ... + 579074341010.

Almost surely, 2^{204413242314402} is an apocalyptic number.

204413242314402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204413242314402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259407991074960).

204413242314402 is an abundant number, since it is smaller than the sum of its proper divisors (314402739835518).

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

204413242314402 is a wasteful number, since it uses less digits than its factorization.

204413242314402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 204413242314402 in words is "two hundred four trillion, four hundred thirteen billion, two hundred forty-two million, three hundred fourteen thousand, four hundred two".