4008406272 has 144 divisors (see below), whose sum is σ = 11610083520. Its totient is φ = 1220345856.

The previous prime is 4008406261. The next prime is 4008406273. The reversal of 4008406272 is 2726048004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008406273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966379 + ... + 970517.

It is an arithmetic number, because the mean of its divisors is an integer number (80625580).

Almost surely, 2^4008406272 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 4008406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805041760).

4008406272 is an abundant number, since it is smaller than the sum of its proper divisors (7601677248).

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

4008406272 is a wasteful number, since it uses less digits than its factorization.

4008406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4008406272 is about 63311.9757391917. The cubic root of 4008406272 is about 1588.5122843059.

The spelling of 4008406272 in words is "four billion, eight million, four hundred six thousand, two hundred seventy-two".