4160472120 has 256 divisors, whose sum is σ = 15904512000. Its totient is φ = 947662848.

The previous prime is 4160472103. The next prime is 4160472157. The reversal of 4160472120 is 212740614.

4160472120 is a `hidden beast` number, since 41 + 604 + 7 + 2 + 12 + 0 = 666.

It is a super-2 number, since 2×4160472120² = 34619056522594588800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2667901 + ... + 2669459.

It is an arithmetic number, because the mean of its divisors is an integer number (62127000).

Almost surely, 2^4160472120 is an apocalyptic number.

4160472120 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 4160472120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952256000).

4160472120 is an abundant number, since it is smaller than the sum of its proper divisors (11744039880).

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

4160472120 is a wasteful number, since it uses less digits than its factorization.

4160472120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4160472120 is about 64501.7218374828. The cubic root of 4160472120 is about 1608.3511429625.

The spelling of 4160472120 in words is "four billion, one hundred sixty million, four hundred seventy-two thousand, one hundred twenty".