4167401238 has 320 divisors, whose sum is σ = 12957880320. Its totient is φ = 965779200.

The previous prime is 4167401179. The next prime is 4167401281. The reversal of 4167401238 is 8321047614.

4167401238 is a `hidden beast` number, since 4 + 16 + 7 + 401 + 238 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5026608 + ... + 5027436.

It is an arithmetic number, because the mean of its divisors is an integer number (40493376).

Almost surely, 2^4167401238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4167401238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478940160).

4167401238 is an abundant number, since it is smaller than the sum of its proper divisors (8790479082).

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

4167401238 is a wasteful number, since it uses less digits than its factorization.

4167401238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4167401238 is about 64555.4121511125. The cubic root of 4167401238 is about 1609.2435315628.

The spelling of 4167401238 in words is "four billion, one hundred sixty-seven million, four hundred one thousand, two hundred thirty-eight".