201412242400314 has 32 divisors (see below), whose sum is σ = 439450455329280. Its totient is φ = 61033240234800.

The previous prime is 201412242400249. The next prime is 201412242400381. The reversal of 201412242400314 is 413004242214102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14051272 + ... + 24500259.

It is an arithmetic number, because the mean of its divisors is an integer number (13732826729040).

Almost surely, 2^{201412242400314} is an apocalyptic number.

201412242400314 is an abundant number, since it is smaller than the sum of its proper divisors (238038212928966).

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

201412242400314 is a wasteful number, since it uses less digits than its factorization.

201412242400314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38630706.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 201412242400314 its reverse (413004242214102), we get a palindrome (614416484614416).

The spelling of 201412242400314 in words is "two hundred one trillion, four hundred twelve billion, two hundred forty-two million, four hundred thousand, three hundred fourteen".