4079509434 has 240 divisors, whose sum is σ = 12371783424. Its totient is φ = 977676480.

The previous prime is 4079509433. The next prime is 4079509453. The reversal of 4079509434 is 4349059704.

It is a happy number.

4079509434 is a `hidden beast` number, since 40 + 79 + 509 + 4 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4079509434.

It is not an unprimeable number, because it can be changed into a prime (4079509433) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1782639 + ... + 1784925.

Almost surely, 2^4079509434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4079509434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185891712).

4079509434 is an abundant number, since it is smaller than the sum of its proper divisors (8292273990).

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

4079509434 is a wasteful number, since it uses less digits than its factorization.

4079509434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4079509434 is about 63871.0375209296. The cubic root of 4079509434 is about 1597.8499028561.

The spelling of 4079509434 in words is "four billion, seventy-nine million, five hundred nine thousand, four hundred thirty-four".