4139166400 has 42 divisors (see below), whose sum is σ = 10184940260. Its totient is φ = 1655665920.

The previous prime is 4139166389. The next prime is 4139166419. The reversal of 4139166400 is 46619314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1291890 + ... + 1295089.

Almost surely, 2^4139166400 is an apocalyptic number.

4139166400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4139166400 is an abundant number, since it is smaller than the sum of its proper divisors (6045773860).

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

4139166400 is a wasteful number, since it uses less digits than its factorization.

4139166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587001 (or 2586986 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 4139166400 is about 64336.3536424003. The cubic root of 4139166400 is about 1605.6009951544.

The spelling of 4139166400 in words is "four billion, one hundred thirty-nine million, one hundred sixty-six thousand, four hundred".