4100040 has 96 divisors (see below), whose sum is σ = 15238080. Its totient is φ = 936576.

The previous prime is 4100023. The next prime is 4100051. The reversal of 4100040 is 400014.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a junction number, because it is equal to n+sod(n) for n = 4099995 and 4100031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1707 + ... + 3333.

It is an arithmetic number, because the mean of its divisors is an integer number (158730).

Almost surely, 2^4100040 is an apocalyptic number.

4100040 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 4100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619040).

4100040 is an abundant number, since it is smaller than the sum of its proper divisors (11138040).

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

4100040 is a wasteful number, since it uses less digits than its factorization.

4100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4100040 is about 2024.8555504035. The cubic root of 4100040 is about 160.0525868811.

Adding to 4100040 its reverse (400014), we get a palindrome (4500054).

The spelling of 4100040 in words is "four million, one hundred thousand, forty".