4129407168 has 224 divisors, whose sum is σ = 12074469120. Its totient is φ = 1240104960.

The previous prime is 4129407103. The next prime is 4129407187. The reversal of 4129407168 is 8617049214.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 7895355 + ... + 7895877.

It is an arithmetic number, because the mean of its divisors is an integer number (53903880).

Almost surely, 2^4129407168 is an apocalyptic number.

4129407168 is a gapful number since it is divisible by the number (48) 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 4129407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037234560).

4129407168 is an abundant number, since it is smaller than the sum of its proper divisors (7945061952).

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

4129407168 is a wasteful number, since it uses less digits than its factorization.

4129407168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4129407168 is about 64260.4634903920. The cubic root of 4129407168 is about 1604.3381189887.

The spelling of 4129407168 in words is "four billion, one hundred twenty-nine million, four hundred seven thousand, one hundred sixty-eight".