4127666000 has 40 divisors (see below), whose sum is σ = 9980701224. Its totient is φ = 1651065600.

The previous prime is 4127665987. The next prime is 4127666003. The reversal of 4127666000 is 6667214.

4127666000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20394256 + 4107271744 = 4516^2 + 64088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127666003) 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, 1029917 + ... + 1033916.

Almost surely, 2^4127666000 is an apocalyptic number.

4127666000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4127666000 is an abundant number, since it is smaller than the sum of its proper divisors (5853035224).

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

4127666000 is a wasteful number, since it uses less digits than its factorization.

4127666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063856 (or 2063840 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 4127666000 is about 64246.9143227906. The cubic root of 4127666000 is about 1604.1125971169.

The spelling of 4127666000 in words is "four billion, one hundred twenty-seven million, six hundred sixty-six thousand".