414500832912 has 160 divisors (see below), whose sum is σ = 1186504630272. Its totient is φ = 124025178112.

The previous prime is 414500832887. The next prime is 414500832913. The reversal of 414500832912 is 219238005414.

It is a super-3 number, since 3×414500832912³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (414500832913) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6480673 + ... + 6544319.

Almost surely, 2^414500832912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414500832912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593252315136).

414500832912 is an abundant number, since it is smaller than the sum of its proper divisors (772003797360).

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

414500832912 is a wasteful number, since it uses less digits than its factorization.

414500832912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64045 (or 64039 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 414500832912 in words is "four hundred fourteen billion, five hundred million, eight hundred thirty-two thousand, nine hundred twelve".