4101605970 has 384 divisors, whose sum is σ = 13179027456. Its totient is φ = 798336000.

The previous prime is 4101605953. The next prime is 4101605987. The reversal of 4101605970 is 795061014.

4101605970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4101605953) and next prime (4101605987).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32296047 + ... + 32296173.

It is an arithmetic number, because the mean of its divisors is an integer number (34320384).

Almost surely, 2^4101605970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101605970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589513728).

4101605970 is an abundant number, since it is smaller than the sum of its proper divisors (9077421486).

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

4101605970 is a wasteful number, since it uses less digits than its factorization.

4101605970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 4101605970 is about 64043.7816653576. The cubic root of 4101605970 is about 1600.7296112520.

Adding to 4101605970 its reverse (795061014), we get a palindrome (4896666984).

The spelling of 4101605970 in words is "four billion, one hundred one million, six hundred five thousand, nine hundred seventy".