4001100 has 36 divisors (see below), whose sum is σ = 11577384. Its totient is φ = 1066880.

The previous prime is 4001089. The next prime is 4001111. The reversal of 4001100 is 11004.

4001100 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 (4001089) and next prime (4001111).

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.

4001100 is a modest number, since divided by 1100 gives 400 as remainder.

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 11 ways as a sum of consecutive naturals, for example, 6369 + ... + 6968.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 2^4001100 is an apocalyptic number.

It is an amenable number.

4001100 is an abundant number, since it is smaller than the sum of its proper divisors (7576284).

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

4001100 is a wasteful number, since it uses less digits than its factorization.

4001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13354 (or 13347 counting only the distinct ones).

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

The square root of 4001100 is about 2000.2749810963. The cubic root of 4001100 is about 158.7546550395.

Adding to 4001100 its reverse (11004), we get a palindrome (4012104).

The spelling of 4001100 in words is "four million, one thousand, one hundred".