201201353415441 has 48 divisors (see below), whose sum is σ = 302859123240960. Its totient is φ = 128629082256480.

The previous prime is 201201353415437. The next prime is 201201353415451. The reversal of 201201353415441 is 144514353102102.

201201353415441 is a `hidden beast` number, since 2 + 0 + 1 + 20 + 1 + 3 + 53 + 41 + 544 + 1 = 666.

It is not a de Polignac number, because 201201353415441 - 2² = 201201353415437 is a prime.

It is a super-3 number, since 3×201201353415441³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201201353415396 and 201201353415405.

It is not an unprimeable number, because it can be changed into a prime (201201353415401) 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 47 ways as a sum of consecutive naturals, for example, 18603015 + ... + 27358268.

It is an arithmetic number, because the mean of its divisors is an integer number (6309565067520).

Almost surely, 2^{201201353415441} is an apocalyptic number.

It is an amenable number.

201201353415441 is a deficient number, since it is larger than the sum of its proper divisors (101657769825519).

201201353415441 is a wasteful number, since it uses less digits than its factorization.

201201353415441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45961546 (or 45961543 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 201201353415441 in words is "two hundred one trillion, two hundred one billion, three hundred fifty-three million, four hundred fifteen thousand, four hundred forty-one".