4127829168 has 20 divisors (see below), whose sum is σ = 10663558808. Its totient is φ = 1375943040.

The previous prime is 4127829127. The next prime is 4127829229. The reversal of 4127829168 is 8619287214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 85996441 = 4127829168 / (4 + 1 + 2 + 7 + 8 + 2 + 9 + 1 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42998173 + ... + 42998268.

Almost surely, 2^4127829168 is an apocalyptic number.

4127829168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4127829168 is an abundant number, since it is smaller than the sum of its proper divisors (6535729640).

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

4127829168 is a wasteful number, since it uses less digits than its factorization.

4127829168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85996452 (or 85996446 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 4127829168 is about 64248.1841611107. The cubic root of 4127829168 is about 1604.1337338719.

The spelling of 4127829168 in words is "four billion, one hundred twenty-seven million, eight hundred twenty-nine thousand, one hundred sixty-eight".