4164007008 has 48 divisors (see below), whose sum is σ = 12492023040. Its totient is φ = 1189716096.

The previous prime is 4164007007. The next prime is 4164007031. The reversal of 4164007008 is 8007004614.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4164007008² = 34677908725346224128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164007007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3097548 + ... + 3098891.

It is an arithmetic number, because the mean of its divisors is an integer number (260250480).

Almost surely, 2^4164007008 is an apocalyptic number.

4164007008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4164007008 is an abundant number, since it is smaller than the sum of its proper divisors (8328016032).

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

4164007008 is a wasteful number, since it uses less digits than its factorization.

4164007008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196459 (or 6196451 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4164007008 is about 64529.1175206976. The cubic root of 4164007008 is about 1608.8065185059.

The spelling of 4164007008 in words is "four billion, one hundred sixty-four million, seven thousand, eight".