4159453824 has 96 divisors (see below), whose sum is σ = 11991601440. Its totient is φ = 1383897600.

The previous prime is 4159453819. The next prime is 4159453853. The reversal of 4159453824 is 4283549514.

4159453824 is a `hidden beast` number, since 4 + 1 + 5 + 94 + 538 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4159453824² = 34602112227976445952, 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 4159453824.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 673149 + ... + 679299.

It is an arithmetic number, because the mean of its divisors is an integer number (124912515).

Almost surely, 2^4159453824 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 4159453824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995800720).

4159453824 is an abundant number, since it is smaller than the sum of its proper divisors (7832147616).

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

4159453824 is a wasteful number, since it uses less digits than its factorization.

4159453824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6743 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 4159453824 is about 64493.8277977048. The cubic root of 4159453824 is about 1608.2199149733.

The spelling of 4159453824 in words is "four billion, one hundred fifty-nine million, four hundred fifty-three thousand, eight hundred twenty-four".