4059340272 has 280 divisors, whose sum is σ = 13377008400. Its totient is φ = 1182449664.

The previous prime is 4059340261. The next prime is 4059340379. The reversal of 4059340272 is 2720439504.

4059340272 is a `hidden beast` number, since 4 + 0 + 593 + 40 + 27 + 2 = 666.

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

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 2880304 + ... + 2881712.

It is an arithmetic number, because the mean of its divisors is an integer number (47775030).

Almost surely, 2^4059340272 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 4059340272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688504200).

4059340272 is an abundant number, since it is smaller than the sum of its proper divisors (9317668128).

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

4059340272 is a wasteful number, since it uses less digits than its factorization.

4059340272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4059340272 is about 63712.9521526039. The cubic root of 4059340272 is about 1595.2122858270.

Adding to 4059340272 its reverse (2720439504), we get a palindrome (6779779776).

The spelling of 4059340272 in words is "four billion, fifty-nine million, three hundred forty thousand, two hundred seventy-two".