414145312425 has 192 divisors, whose sum is σ = 836946432000. Its totient is φ = 199532954880.

The previous prime is 414145312379. The next prime is 414145312429. The reversal of 414145312425 is 524213541414.

414145312425 is a `hidden beast` number, since 41 + 41 + 4 + 531 + 2 + 42 + 5 = 666.

It is not a de Polignac number, because 414145312425 - 2¹¹ = 414145310377 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 414145312425.

It is not an unprimeable number, because it can be changed into a prime (414145312429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123734602 + ... + 123737948.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096000).

Almost surely, 2^414145312425 is an apocalyptic number.

414145312425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414145312425 is an abundant number, since it is smaller than the sum of its proper divisors (422801119575).

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

414145312425 is a wasteful number, since it uses less digits than its factorization.

414145312425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3666 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 414145312425 its reverse (524213541414), we get a palindrome (938358853839).

The spelling of 414145312425 in words is "four hundred fourteen billion, one hundred forty-five million, three hundred twelve thousand, four hundred twenty-five".