4005826272 has 96 divisors (see below), whose sum is σ = 13352774400. Its totient is φ = 1144520064.

The previous prime is 4005826267. The next prime is 4005826273. The reversal of 4005826272 is 2726285004.

4005826272 is a `hidden beast` number, since 4 + 0 + 0 + 582 + 6 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (4005826273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325122 + ... + 337217.

It is an arithmetic number, because the mean of its divisors is an integer number (139091400).

Almost surely, 2^4005826272 is an apocalyptic number.

4005826272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4005826272 is an abundant number, since it is smaller than the sum of its proper divisors (9346948128).

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

4005826272 is a wasteful number, since it uses less digits than its factorization.

4005826272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662365 (or 662351 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4005826272 is about 63291.5971673966. The cubic root of 4005826272 is about 1588.1713972609.

The spelling of 4005826272 in words is "four billion, five million, eight hundred twenty-six thousand, two hundred seventy-two".