416835507328 has 128 divisors (see below), whose sum is σ = 908926732800. Its totient is φ = 189679656960.

The previous prime is 416835507311. The next prime is 416835507337. The reversal of 416835507328 is 823705538614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×416835507328² (a number of 24 digits) contains 22 as substring.

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, 10308526 + ... + 10348882.

It is an arithmetic number, because the mean of its divisors is an integer number (7100990100).

Almost surely, 2^416835507328 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 416835507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454463366400).

416835507328 is an abundant number, since it is smaller than the sum of its proper divisors (492091225472).

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

416835507328 is a wasteful number, since it uses less digits than its factorization.

416835507328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40558 (or 40546 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 416835507328 in words is "four hundred sixteen billion, eight hundred thirty-five million, five hundred seven thousand, three hundred twenty-eight".