4106418120 has 192 divisors, whose sum is σ = 15817576320. Its totient is φ = 938594304.

The previous prime is 4106418083. The next prime is 4106418139. The reversal of 4106418120 is 218146014.

It is a happy number.

4106418120 is a `hidden beast` number, since 4 + 1 + 0 + 641 + 8 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37864 + ... + 98216.

It is an arithmetic number, because the mean of its divisors is an integer number (82383210).

Almost surely, 2^4106418120 is an apocalyptic number.

4106418120 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 4106418120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908788160).

4106418120 is an abundant number, since it is smaller than the sum of its proper divisors (11711158200).

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

4106418120 is a wasteful number, since it uses less digits than its factorization.

4106418120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60386 (or 60370 counting only the distinct ones).

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

The square root of 4106418120 is about 64081.3398736325. The cubic root of 4106418120 is about 1601.3553775623.

The spelling of 4106418120 in words is "four billion, one hundred six million, four hundred eighteen thousand, one hundred twenty".