4811416984 has 64 divisors (see below), whose sum is σ = 9944843040. Its totient is φ = 2164162560.

The previous prime is 4811416979. The next prime is 4811416997. The reversal of 4811416984 is 4896141184.

It is a congruent number.

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, 7148872 + ... + 7149544.

Almost surely, 2^4811416984 is an apocalyptic number.

4811416984 is a gapful number since it is divisible by the number (44) 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 4811416984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972421520).

4811416984 is an abundant number, since it is smaller than the sum of its proper divisors (5133426056).

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

4811416984 is a wasteful number, since it uses less digits than its factorization.

4811416984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1416 counting only the distinct ones).

The product of its digits is 221184, while the sum is 46.

The square root of 4811416984 is about 69364.3783508510. The cubic root of 4811416984 is about 1688.2016962479.

The spelling of 4811416984 in words is "four billion, eight hundred eleven million, four hundred sixteen thousand, nine hundred eighty-four".