4117671936 has 364 divisors, whose sum is σ = 14181176592. Its totient is φ = 1170505728.

The previous prime is 4117671913. The next prime is 4117671979. The reversal of 4117671936 is 6391767114.

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

It is a junction number, because it is equal to n+sod(n) for n = 4117671891 and 4117671900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20901790 + ... + 20901986.

Almost surely, 2^4117671936 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 4117671936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090588296).

4117671936 is an abundant number, since it is smaller than the sum of its proper divisors (10063504656).

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

4117671936 is an frugal number, since it uses more digits than its factorization.

4117671936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 209 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 4117671936 is about 64169.0886330794. The cubic root of 4117671936 is about 1602.8169044122.

The spelling of 4117671936 in words is "four billion, one hundred seventeen million, six hundred seventy-one thousand, nine hundred thirty-six".