4166668128 has 48 divisors (see below), whose sum is σ = 12500006400. Its totient is φ = 1190476416.

The previous prime is 4166668127. The next prime is 4166668139. The reversal of 4166668128 is 8218666614.

4166668128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×4166668128² = 34722246577782048768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166668127) 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, 3099528 + ... + 3100871.

It is an arithmetic number, because the mean of its divisors is an integer number (260416800).

Almost surely, 2^4166668128 is an apocalyptic number.

4166668128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4166668128 is an abundant number, since it is smaller than the sum of its proper divisors (8333338272).

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

4166668128 is a wasteful number, since it uses less digits than its factorization.

4166668128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200419 (or 6200411 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 4166668128 is about 64549.7337562286. The cubic root of 4166668128 is about 1609.1491624629.

The spelling of 4166668128 in words is "four billion, one hundred sixty-six million, six hundred sixty-eight thousand, one hundred twenty-eight".