4121167626 has 64 divisors (see below), whose sum is σ = 9295655040. Its totient is φ = 1353196800.

The previous prime is 4121167619. The next prime is 4121167627. The reversal of 4121167626 is 6267611214.

4121167626 is a `hidden beast` number, since 4 + 1 + 21 + 1 + 6 + 7 + 626 = 666.

It is not an unprimeable number, because it can be changed into a prime (4121167627) 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, 1796136 + ... + 1798428.

It is an arithmetic number, because the mean of its divisors is an integer number (145244610).

Almost surely, 2^4121167626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121167626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647827520).

4121167626 is an abundant number, since it is smaller than the sum of its proper divisors (5174487414).

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

4121167626 is a wasteful number, since it uses less digits than its factorization.

4121167626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2782 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 4121167626 is about 64196.3209693515. The cubic root of 4121167626 is about 1603.2703456059.

The spelling of 4121167626 in words is "four billion, one hundred twenty-one million, one hundred sixty-seven thousand, six hundred twenty-six".