4013030064 has 160 divisors (see below), whose sum is σ = 11765675520. Its totient is φ = 1171501056.

The previous prime is 4013030051. The next prime is 4013030107. The reversal of 4013030064 is 4600303104.

It is a super-2 number, since 2×4013030064² = 32208820589135688192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013030064.

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 31 ways as a sum of consecutive naturals, for example, 691527 + ... + 697305.

It is an arithmetic number, because the mean of its divisors is an integer number (73535472).

Almost surely, 2^4013030064 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 4013030064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882837760).

4013030064 is an abundant number, since it is smaller than the sum of its proper divisors (7752645456).

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

4013030064 is a wasteful number, since it uses less digits than its factorization.

4013030064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4013030064 is about 63348.4811499060. The cubic root of 4013030064 is about 1589.1228451715.

Adding to 4013030064 its reverse (4600303104), we get a palindrome (8613333168).

The spelling of 4013030064 in words is "four billion, thirteen million, thirty thousand, sixty-four".