4100167680 has 384 divisors, whose sum is σ = 15661900800. Its totient is φ = 895352832.

The previous prime is 4100167667. The next prime is 4100167693. The reversal of 4100167680 is 867610014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4100167667) and next prime (4100167693).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4100167680² = 33622750008233164800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4945506 + ... + 4946334.

It is an arithmetic number, because the mean of its divisors is an integer number (40786200).

Almost surely, 2^4100167680 is an apocalyptic number.

4100167680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830950400).

4100167680 is an abundant number, since it is smaller than the sum of its proper divisors (11561733120).

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

4100167680 is a wasteful number, since it uses less digits than its factorization.

4100167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 4100167680 is about 64032.5517217610. The cubic root of 4100167680 is about 1600.5424827162.

Adding to 4100167680 its reverse (867610014), we get a palindrome (4967777694).

The spelling of 4100167680 in words is "four billion, one hundred million, one hundred sixty-seven thousand, six hundred eighty".