4104223444440 has 640 divisors, whose sum is σ = 16706957097600. Its totient is φ = 883662151680.

The previous prime is 4104223444423. The next prime is 4104223444459. The reversal of 4104223444440 is 444443224014.

It is a happy number.

4104223444440 is a `hidden beast` number, since 410 + 4 + 2 + 234 + 4 + 4 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×4104223444440³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4104223444395 and 4104223444404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26890422 + ... + 27042618.

It is an arithmetic number, because the mean of its divisors is an integer number (26104620465).

Almost surely, 2^{4104223444440} is an apocalyptic number.

4104223444440 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 4104223444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353478548800).

4104223444440 is an abundant number, since it is smaller than the sum of its proper divisors (12602733653160).

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

4104223444440 is a wasteful number, since it uses less digits than its factorization.

4104223444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152297 (or 152284 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4104223444440 its reverse (444443224014), we get a palindrome (4548666668454).

The spelling of 4104223444440 in words is "four trillion, one hundred four billion, two hundred twenty-three million, four hundred forty-four thousand, four hundred forty".