414608000000 has 154 divisors (see below), whose sum is σ = 1036040605698. Its totient is φ = 165836800000.

The previous prime is 414607999997. The next prime is 414608000039. The reversal of 414608000000 is 806414.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 414365138944 + 242861056 = 643712^2 + 15584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414608000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15987044 + ... + 16012956.

Almost surely, 2^414608000000 is an apocalyptic number.

414608000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414608000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518020302849).

414608000000 is an abundant number, since it is smaller than the sum of its proper divisors (621432605698).

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

414608000000 is an frugal number, since it uses more digits than its factorization.

414608000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25963 (or 25920 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414608000000 its reverse (806414), we get a palindrome (414608806414).

The spelling of 414608000000 in words is "four hundred fourteen billion, six hundred eight million", and thus it is an aban number.