4100167344 has 320 divisors, whose sum is σ = 13499136000. Its totient is φ = 1043767296.

The previous prime is 4100167343. The next prime is 4100167367. The reversal of 4100167344 is 4437610014.

4100167344 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 super-2 number, since 2×4100167344² = 33622744497608028672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4100167343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20603757 + ... + 20603955.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 2^4100167344 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 4100167344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568000).

4100167344 is an abundant number, since it is smaller than the sum of its proper divisors (9398968656).

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

4100167344 is a wasteful number, since it uses less digits than its factorization.

4100167344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4100167344 is about 64032.5490980954. The cubic root of 4100167344 is about 1600.5424389958.

Adding to 4100167344 its reverse (4437610014), we get a palindrome (8537777358).

It can be divided in two parts, 41001 and 67344, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 4100167344 in words is "four billion, one hundred million, one hundred sixty-seven thousand, three hundred forty-four".