4053382272 has 192 divisors, whose sum is σ = 12196229760. Its totient is φ = 1290885120.

The previous prime is 4053382247. The next prime is 4053382279. The reversal of 4053382272 is 2722833504.

4053382272 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 382 + 272 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (4053382279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2327322 + ... + 2329062.

It is an arithmetic number, because the mean of its divisors is an integer number (63522030).

Almost surely, 2^4053382272 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 4053382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098114880).

4053382272 is an abundant number, since it is smaller than the sum of its proper divisors (8142847488).

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

4053382272 is a wasteful number, since it uses less digits than its factorization.

4053382272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4053382272 is about 63666.1783995239. The cubic root of 4053382272 is about 1594.4314587428.

The spelling of 4053382272 in words is "four billion, fifty-three million, three hundred eighty-two thousand, two hundred seventy-two".