4112372160 has 896 divisors, whose sum is σ = 17205350400. Its totient is φ = 915701760.

The previous prime is 4112372107. The next prime is 4112372189. The reversal of 4112372160 is 612732114.

4112372160 is a `hidden beast` number, since 411 + 2 + 37 + 216 + 0 = 666.

4112372160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 87497257 + ... + 87497303.

It is an arithmetic number, because the mean of its divisors is an integer number (19202400).

Almost surely, 2^4112372160 is an apocalyptic number.

4112372160 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 4112372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602675200).

4112372160 is an abundant number, since it is smaller than the sum of its proper divisors (13092978240).

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

4112372160 is a wasteful number, since it uses less digits than its factorization.

4112372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4112372160 is about 64127.7799397422. The cubic root of 4112372160 is about 1602.1289576224.

The spelling of 4112372160 in words is "four billion, one hundred twelve million, three hundred seventy-two thousand, one hundred sixty".