4100865444 has 81 divisors (see below), whose sum is σ = 11238493539. Its totient is φ = 1260267840.

The previous prime is 4100865421. The next prime is 4100865491. The reversal of 4100865444 is 4445680014.

It is a happy number.

The square root of 4100865444 is 64038.

It is a perfect power (a square), and thus also a powerful number.

4100865444 is a `hidden beast` number, since 4 + 100 + 8 + 6 + 544 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1408500900 + 2692364544 = 37530^2 + 51888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4100865399 and 4100865408.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4994554 + ... + 4995374.

Almost surely, 2^4100865444 is an apocalyptic number.

4100865444 is the 64038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100865444

4100865444 is an abundant number, since it is smaller than the sum of its proper divisors (7137628095).

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

4100865444 is a wasteful number, since it uses less digits than its factorization.

4100865444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The cubic root of 4100865444 is about 1600.6332706763.

Multiplying 4100865444 by its sum of digits (36), we get a square (147631155984 = 384228²).

4100865444 divided by its sum of digits (36) gives a square (113912929 = 10673²).

The spelling of 4100865444 in words is "four billion, one hundred million, eight hundred sixty-five thousand, four hundred forty-four".