4166667120 has 320 divisors, whose sum is σ = 16805781504. Its totient is φ = 828072960.

The previous prime is 4166667079. The next prime is 4166667121. The reversal of 4166667120 is 217666614.

4166667120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4166667120² = 34722229777778188800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166667121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420139 + ... + 429941.

Almost surely, 2^4166667120 is an apocalyptic number.

4166667120 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 4166667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402890752).

4166667120 is an abundant number, since it is smaller than the sum of its proper divisors (12639114384).

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

4166667120 is a wasteful number, since it uses less digits than its factorization.

4166667120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4166667120 is about 64549.7259482951. The cubic root of 4166667120 is about 1609.1490327012.

The spelling of 4166667120 in words is "four billion, one hundred sixty-six million, six hundred sixty-seven thousand, one hundred twenty".