416632232576 has 128 divisors (see below), whose sum is σ = 984353040000. Its totient is φ = 175529195520.

The previous prime is 416632232557. The next prime is 416632232593. The reversal of 416632232576 is 675232236614.

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

It is a self number, because there is not a number n which added to its sum of digits gives 416632232576.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2509916 + ... + 2670756.

It is an arithmetic number, because the mean of its divisors is an integer number (7690258125).

Almost surely, 2^416632232576 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 416632232576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492176520000).

416632232576 is an abundant number, since it is smaller than the sum of its proper divisors (567720807424).

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

416632232576 is an equidigital number, since it uses as much as digits as its factorization.

416632232576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160935 (or 160909 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 47.

The spelling of 416632232576 in words is "four hundred sixteen billion, six hundred thirty-two million, two hundred thirty-two thousand, five hundred seventy-six".