4167899904 has 288 divisors, whose sum is σ = 13280440320. Its totient is φ = 1135411200.

The previous prime is 4167899893. The next prime is 4167899909. The reversal of 4167899904 is 4099987614.

It is not an unprimeable number, because it can be changed into a prime (4167899909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14832244 + ... + 14832524.

It is an arithmetic number, because the mean of its divisors is an integer number (46112640).

Almost surely, 2^4167899904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4167899904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640220160).

4167899904 is an abundant number, since it is smaller than the sum of its proper divisors (9112540416).

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

4167899904 is a wasteful number, since it uses less digits than its factorization.

4167899904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 4167899904 is about 64559.2743453642. The cubic root of 4167899904 is about 1609.3077156897.

The spelling of 4167899904 in words is "four billion, one hundred sixty-seven million, eight hundred ninety-nine thousand, nine hundred four".