4051167120 has 1080 divisors, whose sum is σ = 18990768888. Its totient is φ = 766402560.

The previous prime is 4051167089. The next prime is 4051167143. The reversal of 4051167120 is 217611504.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 103306896 + 3947860224 = 10164^2 + 62832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 55495404 + ... + 55495476.

Almost surely, 2^4051167120 is an apocalyptic number.

4051167120 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 4051167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9495384444).

4051167120 is an abundant number, since it is smaller than the sum of its proper divisors (14939601768).

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

4051167120 is a wasteful number, since it uses less digits than its factorization.

4051167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 4051167120 is about 63648.7794069926. The cubic root of 4051167120 is about 1594.1409563604.

Adding to 4051167120 its reverse (217611504), we get a palindrome (4268778624).

It can be divided in two parts, 4051 and 167120, that added together give a palindrome (171171).

The spelling of 4051167120 in words is "four billion, fifty-one million, one hundred sixty-seven thousand, one hundred twenty".