4104412032 has 128 divisors (see below), whose sum is σ = 12480099840. Its totient is φ = 1170782208.

The previous prime is 4104412009. The next prime is 4104412033. The reversal of 4104412032 is 2302144014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104412033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3001813 + ... + 3003179.

It is an arithmetic number, because the mean of its divisors is an integer number (97500780).

Almost surely, 2^4104412032 is an apocalyptic number.

4104412032 is a gapful number since it is divisible by the number (42) 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 4104412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240049920).

4104412032 is an abundant number, since it is smaller than the sum of its proper divisors (8375687808).

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

4104412032 is a wasteful number, since it uses less digits than its factorization.

4104412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4104412032 is about 64065.6852925183. The cubic root of 4104412032 is about 1601.0945676969.

Adding to 4104412032 its reverse (2302144014), we get a palindrome (6406556046).

The spelling of 4104412032 in words is "four billion, one hundred four million, four hundred twelve thousand, thirty-two".