4101000 has 64 divisors (see below), whose sum is σ = 12804480. Its totient is φ = 1092800.

The previous prime is 4100983. The next prime is 4101011. The reversal of 4101000 is 1014.

4101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4101000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317 + ... + 3683.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 2^4101000 is an apocalyptic number.

4101000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402240).

4101000 is an abundant number, since it is smaller than the sum of its proper divisors (8703480).

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

4101000 is a wasteful number, since it uses less digits than its factorization.

4101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 4101000 is about 2025.0925904758. The cubic root of 4101000 is about 160.0650776937.

Adding to 4101000 its reverse (1014), we get a palindrome (4102014).

The spelling of 4101000 in words is "four million, one hundred one thousand".