4106085600 has 72 divisors (see below), whose sum is σ = 13365316440. Its totient is φ = 1094955520.

The previous prime is 4106085569. The next prime is 4106085601. The reversal of 4106085600 is 65806014.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106085601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 853035 + ... + 857834.

It is an arithmetic number, because the mean of its divisors is an integer number (185629395).

Almost surely, 2^4106085600 is an apocalyptic number.

4106085600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4106085600 is an abundant number, since it is smaller than the sum of its proper divisors (9259230840).

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

4106085600 is a wasteful number, since it uses less digits than its factorization.

4106085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710892 (or 1710879 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4106085600 is about 64078.7453060685. The cubic root of 4106085600 is about 1601.3121527819.

The spelling of 4106085600 in words is "four billion, one hundred six million, eighty-five thousand, six hundred".