4116617472 has 216 divisors, whose sum is σ = 12439947520. Its totient is φ = 1206374400.

The previous prime is 4116617471. The next prime is 4116617509. The reversal of 4116617472 is 2747166114.

It is a self number, because there is not a number n which added to its sum of digits gives 4116617472.

It is not an unprimeable number, because it can be changed into a prime (4116617471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2880054 + ... + 2881482.

Almost surely, 2^4116617472 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 4116617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219973760).

4116617472 is an abundant number, since it is smaller than the sum of its proper divisors (8323330048).

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

4116617472 is a wasteful number, since it uses less digits than its factorization.

4116617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1476 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 4116617472 is about 64160.8718145257. The cubic root of 4116617472 is about 1602.6800749091.

The spelling of 4116617472 in words is "four billion, one hundred sixteen million, six hundred seventeen thousand, four hundred seventy-two".