414133032012 has 48 divisors (see below), whose sum is σ = 1105128971520. Its totient is φ = 118240771392.

The previous prime is 414133031993. The next prime is 414133032031. The reversal of 414133032012 is 210230331414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414133031993) and next prime (414133032031).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1607587 + ... + 1847322.

It is an arithmetic number, because the mean of its divisors is an integer number (23023520240).

Almost surely, 2^414133032012 is an apocalyptic number.

414133032012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414133032012 is an abundant number, since it is smaller than the sum of its proper divisors (690995939508).

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

414133032012 is a wasteful number, since it uses less digits than its factorization.

414133032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456350 (or 3456348 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 414133032012 its reverse (210230331414), we get a palindrome (624363363426).

The spelling of 414133032012 in words is "four hundred fourteen billion, one hundred thirty-three million, thirty-two thousand, twelve".