418034128008 has 192 divisors, whose sum is σ = 1269738639360. Its totient is φ = 112327087104.

The previous prime is 418034127983. The next prime is 418034128013. The reversal of 418034128008 is 800821430814.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88507935 + ... + 88512657.

It is an arithmetic number, because the mean of its divisors is an integer number (6613222080).

Almost surely, 2^418034128008 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 418034128008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634869319680).

418034128008 is an abundant number, since it is smaller than the sum of its proper divisors (851704511352).

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

418034128008 is a wasteful number, since it uses less digits than its factorization.

418034128008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 418034128008 in words is "four hundred eighteen billion, thirty-four million, one hundred twenty-eight thousand, eight".