201210434012400 has 120 divisors (see below), whose sum is σ = 644608141716720. Its totient is φ = 53650783672320.

The previous prime is 201210434012363. The next prime is 201210434012449. The reversal of 201210434012400 is 4210434012102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3756484 + ... + 20409116.

It is an arithmetic number, because the mean of its divisors is an integer number (5371734514306).

Almost surely, 2^{201210434012400} is an apocalyptic number.

201210434012400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201210434012400 is an abundant number, since it is smaller than the sum of its proper divisors (443397707704320).

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

201210434012400 is a wasteful number, since it uses less digits than its factorization.

201210434012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16662723 (or 16662712 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201210434012400 its reverse (4210434012102), we get a palindrome (205420868024502).

The spelling of 201210434012400 in words is "two hundred one trillion, two hundred ten billion, four hundred thirty-four million, twelve thousand, four hundred".