4152597120 has 288 divisors, whose sum is σ = 16681703220. Its totient is φ = 949100544.

The previous prime is 4152597103. The next prime is 4152597121. The reversal of 4152597120 is 217952514.

4152597120 is a `hidden beast` number, since 4 + 1 + 52 + 597 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4140150336 + 12446784 = 64344^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (4152597121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 274884 + ... + 289596.

Almost surely, 2^4152597120 is an apocalyptic number.

4152597120 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 4152597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340851610).

4152597120 is an abundant number, since it is smaller than the sum of its proper divisors (12529106100).

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

4152597120 is a wasteful number, since it uses less digits than its factorization.

4152597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14752 (or 14730 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 4152597120 is about 64440.6480414342. The cubic root of 4152597120 is about 1607.3357321620.

The spelling of 4152597120 in words is "four billion, one hundred fifty-two million, five hundred ninety-seven thousand, one hundred twenty".