4154001664 has 72 divisors (see below), whose sum is σ = 8750609280. Its totient is φ = 1964126208.

The previous prime is 4154001661. The next prime is 4154001667. The reversal of 4154001664 is 4661004514.

It is an interprime number because it is at equal distance from previous prime (4154001661) and next prime (4154001667).

It is a super-3 number, since 3×4154001664³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4154001661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520069 + ... + 527995.

It is an arithmetic number, because the mean of its divisors is an integer number (121536240).

Almost surely, 2^4154001664 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 4154001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375304640).

4154001664 is an abundant number, since it is smaller than the sum of its proper divisors (4596607616).

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

4154001664 is an equidigital number, since it uses as much as digits as its factorization.

4154001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 4154001664 is about 64451.5450862119. The cubic root of 4154001664 is about 1607.5169295519.

The spelling of 4154001664 in words is "four billion, one hundred fifty-four million, one thousand, six hundred sixty-four".