4081100634 has 72 divisors (see below), whose sum is σ = 9954895860. Its totient is φ = 1201090176.

The previous prime is 4081100627. The next prime is 4081100651. The reversal of 4081100634 is 4360011804.

4081100634 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 can be written as a sum of positive squares in 2 ways, for example, as 3813680025 + 267420609 = 61755^2 + 16353^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4081100598 and 4081100607.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107302 + ... + 140270.

Almost surely, 2^4081100634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081100634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977447930).

4081100634 is an abundant number, since it is smaller than the sum of its proper divisors (5873795226).

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

4081100634 is a wasteful number, since it uses less digits than its factorization.

4081100634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33036 (or 33010 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4081100634 is about 63883.4926565541. The cubic root of 4081100634 is about 1598.0576213178.

The spelling of 4081100634 in words is "four billion, eighty-one million, one hundred thousand, six hundred thirty-four".