414100223410132 has 96 divisors (see below), whose sum is σ = 848144910412800. Its totient is φ = 173204405256960.

The previous prime is 414100223410121. The next prime is 414100223410169. The reversal of 414100223410132 is 231014322001414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 414100223410132.

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 31 ways as a sum of consecutive naturals, for example, 24797897119 + ... + 24797913817.

It is an arithmetic number, because the mean of its divisors is an integer number (8834842816800).

Almost surely, 2^{414100223410132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414100223410132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424072455206400).

414100223410132 is an abundant number, since it is smaller than the sum of its proper divisors (434044687002668).

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

414100223410132 is a wasteful number, since it uses less digits than its factorization.

414100223410132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32141 (or 32139 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 414100223410132 its reverse (231014322001414), we get a palindrome (645114545411546).

The spelling of 414100223410132 in words is "four hundred fourteen trillion, one hundred billion, two hundred twenty-three million, four hundred ten thousand, one hundred thirty-two".