4076314272 has 144 divisors (see below), whose sum is σ = 11956947912. Its totient is φ = 1316321280.

The previous prime is 4076314261. The next prime is 4076314331. The reversal of 4076314272 is 2724136704.

4076314272 is a `hidden beast` number, since 4 + 0 + 76 + 314 + 272 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3552636816 + 523677456 = 59604^2 + 22884^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4076314272² = 33232676088221779968, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2951022 + ... + 2952402.

Almost surely, 2^4076314272 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 4076314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978473956).

4076314272 is an abundant number, since it is smaller than the sum of its proper divisors (7880633640).

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

4076314272 is a wasteful number, since it uses less digits than its factorization.

4076314272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4076314272 is about 63846.0200169126. The cubic root of 4076314272 is about 1597.4326367739.

The spelling of 4076314272 in words is "four billion, seventy-six million, three hundred fourteen thousand, two hundred seventy-two".