4165476120 has 192 divisors, whose sum is σ = 14628650400. Its totient is φ = 1021870080.

The previous prime is 4165476109. The next prime is 4165476127. The reversal of 4165476120 is 216745614.

4165476120 is a `hidden beast` number, since 4 + 1 + 65 + 476 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165476127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1547736 + ... + 1550424.

Almost surely, 2^4165476120 is an apocalyptic number.

4165476120 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 4165476120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314325200).

4165476120 is an abundant number, since it is smaller than the sum of its proper divisors (10463174280).

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

4165476120 is a wasteful number, since it uses less digits than its factorization.

4165476120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4165476120 is about 64540.4998431218. The cubic root of 4165476120 is about 1608.9956983874.

The spelling of 4165476120 in words is "four billion, one hundred sixty-five million, four hundred seventy-six thousand, one hundred twenty".