414101204221332 has 24 divisors (see below), whose sum is σ = 989802878383872. Its totient is φ = 134667058283200.

The previous prime is 414101204221319. The next prime is 414101204221339. The reversal of 414101204221332 is 233122402101414.

It is a happy number.

It is a super-2 number, since 2×414101204221332² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414101204221332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414101204221339) 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 7 ways as a sum of consecutive naturals, for example, 420834556644 + ... + 420834557627.

It is an arithmetic number, because the mean of its divisors is an integer number (41241786599328).

Almost surely, 2^{414101204221332} is an apocalyptic number.

It is an amenable number.

414101204221332 is an abundant number, since it is smaller than the sum of its proper divisors (575701674162540).

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

414101204221332 is a wasteful number, since it uses less digits than its factorization.

414101204221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841669114319 (or 841669114317 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 414101204221332 its reverse (233122402101414), we get a palindrome (647223606322746).

The spelling of 414101204221332 in words is "four hundred fourteen trillion, one hundred one billion, two hundred four million, two hundred twenty-one thousand, three hundred thirty-two".