4117825704 has 128 divisors (see below), whose sum is σ = 10720512000. Its totient is φ = 1317388800.

The previous prime is 4117825703. The next prime is 4117825709. The reversal of 4117825704 is 4075287114.

It is not an unprimeable number, because it can be changed into a prime (4117825703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14654044 + ... + 14654324.

It is an arithmetic number, because the mean of its divisors is an integer number (83754000).

Almost surely, 2^4117825704 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 4117825704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360256000).

4117825704 is an abundant number, since it is smaller than the sum of its proper divisors (6602686296).

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

4117825704 is a wasteful number, since it uses less digits than its factorization.

4117825704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 4117825704 is about 64170.2867688777. The cubic root of 4117825704 is about 1602.8368557250.

The spelling of 4117825704 in words is "four billion, one hundred seventeen million, eight hundred twenty-five thousand, seven hundred four".