4104223440 has 240 divisors, whose sum is σ = 13569988608. Its totient is φ = 1025934336.

The previous prime is 4104223427. The next prime is 4104223457. The reversal of 4104223440 is 443224014.

It is a happy number.

4104223440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4104223440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11003094 + ... + 11003466.

Almost surely, 2^4104223440 is an apocalyptic number.

4104223440 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 4104223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784994304).

4104223440 is an abundant number, since it is smaller than the sum of its proper divisors (9465765168).

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

4104223440 is a wasteful number, since it uses less digits than its factorization.

4104223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4104223440 is about 64064.2134112330. The cubic root of 4104223440 is about 1601.0700446349.

Adding to 4104223440 its reverse (443224014), we get a palindrome (4547447454).

The spelling of 4104223440 in words is "four billion, one hundred four million, two hundred twenty-three thousand, four hundred forty".