41414120214432 has 384 divisors, whose sum is σ = 135284748480000. Its totient is φ = 10821259100160.

The previous prime is 41414120214421. The next prime is 41414120214521. The reversal of 41414120214432 is 23441202141414.

It is a super-2 number, since 2×41414120214432² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41414120214393 and 41414120214402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321601194 + ... + 321729942.

It is an arithmetic number, because the mean of its divisors is an integer number (352304032500).

Almost surely, 2^{41414120214432} is an apocalyptic number.

41414120214432 is a gapful number since it is divisible by the number (42) 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 41414120214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67642374240000).

41414120214432 is an abundant number, since it is smaller than the sum of its proper divisors (93870628265568).

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

41414120214432 is a wasteful number, since it uses less digits than its factorization.

41414120214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129584 (or 129576 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 41414120214432 its reverse (23441202141414), we get a palindrome (64855322355846).

The spelling of 41414120214432 in words is "forty-one trillion, four hundred fourteen billion, one hundred twenty million, two hundred fourteen thousand, four hundred thirty-two".