415143201135221 has 16 divisors (see below), whose sum is σ = 455515755271920. Its totient is φ = 375976238077440.

The previous prime is 415143201135151. The next prime is 415143201135281. The reversal of 415143201135221 is 122531102341514.

It can be written as a sum of positive squares in 8 ways, for example, as 10155600625 + 415133045534596 = 100775^2 + 20374814^2 .

It is not a de Polignac number, because 415143201135221 - 2¹⁴ = 415143201118837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415143201135281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105427265 + ... + 109294073.

It is an arithmetic number, because the mean of its divisors is an integer number (28469734704495).

Almost surely, 2^{415143201135221} is an apocalyptic number.

It is an amenable number.

415143201135221 is a deficient number, since it is larger than the sum of its proper divisors (40372554136699).

415143201135221 is a wasteful number, since it uses less digits than its factorization.

415143201135221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022696.

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 415143201135221 its reverse (122531102341514), we get a palindrome (537674303476735).

The spelling of 415143201135221 in words is "four hundred fifteen trillion, one hundred forty-three billion, two hundred one million, one hundred thirty-five thousand, two hundred twenty-one".