414224532006 has 64 divisors (see below), whose sum is σ = 854470536192. Its totient is φ = 133786080000.

The previous prime is 414224531989. The next prime is 414224532011. The reversal of 414224532006 is 600235422414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36104851 + ... + 36116321.

It is an arithmetic number, because the mean of its divisors is an integer number (13351102128).

Almost surely, 2^414224532006 is an apocalyptic number.

414224532006 is an abundant number, since it is smaller than the sum of its proper divisors (440246004186).

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

414224532006 is a wasteful number, since it uses less digits than its factorization.

414224532006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509.

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 414224532006 in words is "four hundred fourteen billion, two hundred twenty-four million, five hundred thirty-two thousand, six".