4244223023040 has 1792 divisors, whose sum is σ = 18581778432000. Its totient is φ = 792343019520.

The previous prime is 4244223023011. The next prime is 4244223023087. The reversal of 4244223023040 is 403203224424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4244223022989 and 4244223023007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8505456711 + ... + 8505457209.

It is an arithmetic number, because the mean of its divisors is an integer number (10369296000).

Almost surely, 2^{4244223023040} is an apocalyptic number.

4244223023040 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 4244223023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290889216000).

4244223023040 is an abundant number, since it is smaller than the sum of its proper divisors (14337555408960).

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

4244223023040 is a wasteful number, since it uses less digits than its factorization.

4244223023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 4244223023040 its reverse (403203224424), we get a palindrome (4647426247464).

The spelling of 4244223023040 in words is "four trillion, two hundred forty-four billion, two hundred twenty-three million, twenty-three thousand, forty".