201413422401400 has 192 divisors, whose sum is σ = 533967899224320. Its totient is φ = 69938692454400.

The previous prime is 201413422401311. The next prime is 201413422401419. The reversal of 201413422401400 is 4104224314102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26649559 + ... + 33362041.

It is an arithmetic number, because the mean of its divisors is an integer number (2781082808460).

Almost surely, 2^{201413422401400} is an apocalyptic number.

201413422401400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201413422401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266983949612160).

201413422401400 is an abundant number, since it is smaller than the sum of its proper divisors (332554476822920).

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

201413422401400 is a wasteful number, since it uses less digits than its factorization.

201413422401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713126 (or 6713117 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 201413422401400 its reverse (4104224314102), we get a palindrome (205517646715502).

The spelling of 201413422401400 in words is "two hundred one trillion, four hundred thirteen billion, four hundred twenty-two million, four hundred one thousand, four hundred".