414020335432240 has 80 divisors (see below), whose sum is σ = 963205710888960. Its totient is φ = 165503469945600.

The previous prime is 414020335432237. The next prime is 414020335432331. The reversal of 414020335432240 is 42234533020414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 414020335432240.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2441547937 + ... + 2441717503.

It is an arithmetic number, because the mean of its divisors is an integer number (12040071386112).

Almost surely, 2^{414020335432240} is an apocalyptic number.

414020335432240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414020335432240 is an abundant number, since it is smaller than the sum of its proper divisors (549185375456720).

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

414020335432240 is a wasteful number, since it uses less digits than its factorization.

414020335432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188690 (or 188684 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 414020335432240 its reverse (42234533020414), we get a palindrome (456254868452654).

The spelling of 414020335432240 in words is "four hundred fourteen trillion, twenty billion, three hundred thirty-five million, four hundred thirty-two thousand, two hundred forty".