4013280576 has 126 divisors (see below), whose sum is σ = 12220322270. Its totient is φ = 1259016192.

The previous prime is 4013280563. The next prime is 4013280577. The reversal of 4013280576 is 6750823104.

4013280576 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 2 + 80 + 576 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1876622400 + 2136658176 = 43320^2 + 46224^2 .

It is a super-2 number, since 2×4013280576² = 32212841963397783552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4013280576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013280577) 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 17 ways as a sum of consecutive naturals, for example, 154410 + ... + 178518.

Almost surely, 2^4013280576 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 4013280576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110161135).

4013280576 is an abundant number, since it is smaller than the sum of its proper divisors (8207041694).

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

4013280576 is a wasteful number, since it uses less digits than its factorization.

4013280576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24161 (or 24131 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4013280576 is about 63350.4583724538. The cubic root of 4013280576 is about 1589.1559112963.

The spelling of 4013280576 in words is "four billion, thirteen million, two hundred eighty thousand, five hundred seventy-six".