205004214300402 has 72 divisors (see below), whose sum is σ = 488232456259548. Its totient is φ = 62121704578560.

The previous prime is 205004214300383. The next prime is 205004214300409. The reversal of 205004214300402 is 204003412400502.

205004214300402 is a `hidden beast` number, since 205 + 0 + 0 + 4 + 21 + 4 + 30 + 0 + 402 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188636517719001 + 16367696581401 = 13734501^2 + 4045701^2 .

It is not an unprimeable number, because it can be changed into a prime (205004214300409) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 185225118 + ... + 186328614.

Almost surely, 2^{205004214300402} is an apocalyptic number.

205004214300402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

205004214300402 is an abundant number, since it is smaller than the sum of its proper divisors (283228241959146).

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

205004214300402 is a wasteful number, since it uses less digits than its factorization.

205004214300402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188824 (or 1188810 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 205004214300402 its reverse (204003412400502), we get a palindrome (409007626700904).

The spelling of 205004214300402 in words is "two hundred five trillion, four billion, two hundred fourteen million, three hundred thousand, four hundred two".