4201652952 has 256 divisors, whose sum is σ = 14581555200. Its totient is φ = 1093201920.

The previous prime is 4201652947. The next prime is 4201652957. The reversal of 4201652952 is 2592561024.

4201652952 is a `hidden beast` number, since 420 + 165 + 29 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (4201652947) and next prime (4201652957).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201652957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 794188 + ... + 799460.

It is an arithmetic number, because the mean of its divisors is an integer number (56959200).

Almost surely, 2^4201652952 is an apocalyptic number.

4201652952 is a gapful number since it is divisible by the number (42) 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 4201652952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290777600).

4201652952 is an abundant number, since it is smaller than the sum of its proper divisors (10379902248).

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

4201652952 is a wasteful number, since it uses less digits than its factorization.

4201652952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4201652952 is about 64820.1585311236. The cubic root of 4201652952 is about 1613.6402785896.

The spelling of 4201652952 in words is "four billion, two hundred one million, six hundred fifty-two thousand, nine hundred fifty-two".