4009104 has 60 divisors (see below), whose sum is σ = 12244752. Its totient is φ = 1214400.

The previous prime is 4009097. The next prime is 4009139. The reversal of 4009104 is 4019004.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319 + ... + 2849.

Almost surely, 2^4009104 is an apocalyptic number.

4009104 is a gapful number since it is divisible by the number (44) 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 4009104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122376).

4009104 is an abundant number, since it is smaller than the sum of its proper divisors (8235648).

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

4009104 is a wasteful number, since it uses less digits than its factorization.

4009104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4009104 is about 2002.2747064277. The cubic root of 4009104 is about 158.8604447718.

The spelling of 4009104 in words is "four million, nine thousand, one hundred four".