4492167120 has 240 divisors, whose sum is σ = 17999651520. Its totient is φ = 1026756864.

The previous prime is 4492167107. The next prime is 4492167217. The reversal of 4492167120 is 217612944.

It is a happy number.

4492167120 is a `hidden beast` number, since 4 + 492 + 167 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×4492167120⁴ (a number of 40 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84619 + ... + 127061.

It is an arithmetic number, because the mean of its divisors is an integer number (74998548).

Almost surely, 2^4492167120 is an apocalyptic number.

4492167120 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 4492167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999825760).

4492167120 is an abundant number, since it is smaller than the sum of its proper divisors (13507484400).

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

4492167120 is a wasteful number, since it uses less digits than its factorization.

4492167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42479 (or 42460 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4492167120 is about 67023.6310565162. The cubic root of 4492167120 is about 1650.0051570087.

The spelling of 4492167120 in words is "four billion, four hundred ninety-two million, one hundred sixty-seven thousand, one hundred twenty".