4166177120 has 384 divisors, whose sum is σ = 12613708800. Its totient is φ = 1268047872.

The previous prime is 4166177117. The next prime is 4166177123. The reversal of 4166177120 is 217716614.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4166177117) and next prime (4166177123).

It is a super-2 number, since 2×4166177120² = 34714063590422988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166177123) 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, 26536082 + ... + 26536238.

It is an arithmetic number, because the mean of its divisors is an integer number (32848200).

Almost surely, 2^4166177120 is an apocalyptic number.

4166177120 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 4166177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306854400).

4166177120 is an abundant number, since it is smaller than the sum of its proper divisors (8447531680).

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

4166177120 is a wasteful number, since it uses less digits than its factorization.

4166177120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 4166177120 is about 64545.9303132273. The cubic root of 4166177120 is about 1609.0859515931.

The spelling of 4166177120 in words is "four billion, one hundred sixty-six million, one hundred seventy-seven thousand, one hundred twenty".