414230432202135 has 48 divisors (see below), whose sum is σ = 724663137369600. Its totient is φ = 218872949686272.

The previous prime is 414230432202077. The next prime is 414230432202149. The reversal of 414230432202135 is 531202234032414.

414230432202135 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 3 + 0 + 432 + 2 + 0 + 213 + 5 = 666.

It is not a de Polignac number, because 414230432202135 - 2⁹ = 414230432201623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414230432202135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42007626 + ... + 50922504.

It is an arithmetic number, because the mean of its divisors is an integer number (15097148695200).

Almost surely, 2^{414230432202135} is an apocalyptic number.

414230432202135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

414230432202135 is a deficient number, since it is larger than the sum of its proper divisors (310432705167465).

414230432202135 is a wasteful number, since it uses less digits than its factorization.

414230432202135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924472 (or 8924469 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 414230432202135 its reverse (531202234032414), we get a palindrome (945432666234549).

The spelling of 414230432202135 in words is "four hundred fourteen trillion, two hundred thirty billion, four hundred thirty-two million, two hundred two thousand, one hundred thirty-five".