4152274560 has 192 divisors, whose sum is σ = 16386814080. Its totient is φ = 949082112.

The previous prime is 4152274547. The next prime is 4152274579. The reversal of 4152274560 is 654722514.

It is a happy number.

4152274560 is a `hidden beast` number, since 4 + 1 + 5 + 22 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11172 + ... + 91811.

It is an arithmetic number, because the mean of its divisors is an integer number (85347990).

Almost surely, 2^4152274560 is an apocalyptic number.

4152274560 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 4152274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193407040).

4152274560 is an abundant number, since it is smaller than the sum of its proper divisors (12234539520).

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

4152274560 is a wasteful number, since it uses less digits than its factorization.

4152274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103015 (or 103000 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4152274560 is about 64438.1452247037. The cubic root of 4152274560 is about 1607.2941135778.

The spelling of 4152274560 in words is "four billion, one hundred fifty-two million, two hundred seventy-four thousand, five hundred sixty".