4117588020 has 960 divisors, whose sum is σ = 17703899136. Its totient is φ = 776355840.

The previous prime is 4117588009. The next prime is 4117588061. The reversal of 4117588020 is 208857114.

4117588020 is a `hidden beast` number, since 41 + 17 + 588 + 0 + 20 = 666.

It is a super-2 number, since 2×4117588020² = 33909062204895040800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 77690314 + ... + 77690366.

Almost surely, 2^4117588020 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 4117588020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8851949568).

4117588020 is an abundant number, since it is smaller than the sum of its proper divisors (13586311116).

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

4117588020 is a wasteful number, since it uses less digits than its factorization.

4117588020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 4117588020 is about 64168.4347635190. The cubic root of 4117588020 is about 1602.8060161482.

The spelling of 4117588020 in words is "four billion, one hundred seventeen million, five hundred eighty-eight thousand, twenty".