414134022414330 has 48 divisors (see below), whose sum is σ = 1076828439772800. Its totient is φ = 110427536080224.

The previous prime is 414134022414313. The next prime is 414134022414347. The reversal of 414134022414330 is 33414220431414.

414134022414330 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 3 + 402 + 241 + 4 + 3 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (414134022414313) and next prime (414134022414347).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169682230 + ... + 172105569.

It is an arithmetic number, because the mean of its divisors is an integer number (22433925828600).

Almost surely, 2^{414134022414330} is an apocalyptic number.

414134022414330 is an abundant number, since it is smaller than the sum of its proper divisors (662694417358470).

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

414134022414330 is a wasteful number, since it uses less digits than its factorization.

414134022414330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341801275 (or 341801272 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 414134022414330 its reverse (33414220431414), we get a palindrome (447548242845744).

The spelling of 414134022414330 in words is "four hundred fourteen trillion, one hundred thirty-four billion, twenty-two million, four hundred fourteen thousand, three hundred thirty".