4225115160 has 192 divisors, whose sum is σ = 16014024000. Its totient is φ = 965712384.

The previous prime is 4225115143. The next prime is 4225115161. The reversal of 4225115160 is 615115224.

4225115160 is a `hidden beast` number, since 42 + 2 + 511 + 51 + 60 = 666.

4225115160 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225115161) 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, 106372 + ... + 140588.

It is an arithmetic number, because the mean of its divisors is an integer number (83406375).

Almost surely, 2^4225115160 is an apocalyptic number.

4225115160 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 4225115160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007012000).

4225115160 is an abundant number, since it is smaller than the sum of its proper divisors (11788908840).

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

4225115160 is a wasteful number, since it uses less digits than its factorization.

4225115160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34255 (or 34234 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 4225115160 is about 65000.8858401176. The cubic root of 4225115160 is about 1616.6382504423.

The spelling of 4225115160 in words is "four billion, two hundred twenty-five million, one hundred fifteen thousand, one hundred sixty".