4108124160 has 408 divisors, whose sum is σ = 16357660800. Its totient is φ = 934281216.

The previous prime is 4108124149. The next prime is 4108124173. The reversal of 4108124160 is 614218014.

It is a happy number.

4108124160 is a `hidden beast` number, since 410 + 8 + 1 + 241 + 6 + 0 = 666.

It is a super-2 number, since 2×4108124160² = 33753368227951411200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20643741 + ... + 20643939.

Almost surely, 2^4108124160 is an apocalyptic number.

4108124160 is a gapful number since it is divisible by the number (40) 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 4108124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178830400).

4108124160 is an abundant number, since it is smaller than the sum of its proper divisors (12249536640).

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

4108124160 is an equidigital number, since it uses as much as digits as its factorization.

4108124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4108124160 is about 64094.6500107458. The cubic root of 4108124160 is about 1601.5771116053.

The spelling of 4108124160 in words is "four billion, one hundred eight million, one hundred twenty-four thousand, one hundred sixty".