4117682520 has 128 divisors (see below), whose sum is σ = 15686438400. Its totient is φ = 941182848.

The previous prime is 4117682501. The next prime is 4117682561. The reversal of 4117682520 is 252867114.

4117682520 is a `hidden beast` number, since 41 + 17 + 6 + 82 + 520 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264774 + ... + 279893.

It is an arithmetic number, because the mean of its divisors is an integer number (122550300).

Almost surely, 2^4117682520 is an apocalyptic number.

4117682520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4117682520 is an abundant number, since it is smaller than the sum of its proper divisors (11568755880).

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

4117682520 is a wasteful number, since it uses less digits than its factorization.

4117682520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544694 (or 544684 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4117682520 is about 64169.1711026409. The cubic root of 4117682520 is about 1602.8182776963.

The spelling of 4117682520 in words is "four billion, one hundred seventeen million, six hundred eighty-two thousand, five hundred twenty".