4712417472 has 224 divisors, whose sum is σ = 14793805312. Its totient is φ = 1295917056.

The previous prime is 4712417443. The next prime is 4712417509. The reversal of 4712417472 is 2747142174.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4712417472.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4218258 + ... + 4219374.

Almost surely, 2^4712417472 is an apocalyptic number.

4712417472 is a gapful number since it is divisible by the number (42) 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 4712417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396902656).

4712417472 is an abundant number, since it is smaller than the sum of its proper divisors (10081387840).

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

4712417472 is a wasteful number, since it uses less digits than its factorization.

4712417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1245 counting only the distinct ones).

The product of its digits is 87808, while the sum is 39.

The square root of 4712417472 is about 68647.0499875996. The cubic root of 4712417472 is about 1676.5425720589.

The spelling of 4712417472 in words is "four billion, seven hundred twelve million, four hundred seventeen thousand, four hundred seventy-two".