4201253672 has 192 divisors, whose sum is σ = 10432696320. Its totient is φ = 1540080000.

The previous prime is 4201253663. The next prime is 4201253687. The reversal of 4201253672 is 2763521024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27822797 + ... + 27822947.

It is an arithmetic number, because the mean of its divisors is an integer number (54336960).

Almost surely, 2^4201253672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201253672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216348160).

4201253672 is an abundant number, since it is smaller than the sum of its proper divisors (6231442648).

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

4201253672 is a wasteful number, since it uses less digits than its factorization.

4201253672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 4201253672 is about 64817.0785518755. The cubic root of 4201253672 is about 1613.5891626194.

Adding to 4201253672 its reverse (2763521024), we get a palindrome (6964774696).

The spelling of 4201253672 in words is "four billion, two hundred one million, two hundred fifty-three thousand, six hundred seventy-two".