4402002400220 has 96 divisors (see below), whose sum is σ = 9850942785600. Its totient is φ = 1646579994624.

The previous prime is 4402002400219. The next prime is 4402002400223. The reversal of 4402002400220 is 220042002044.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4402002400192 and 4402002400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402002400223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73793366 + ... + 73852994.

It is an arithmetic number, because the mean of its divisors is an integer number (102613987350).

Almost surely, 2^{4402002400220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4402002400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925471392800).

4402002400220 is an abundant number, since it is smaller than the sum of its proper divisors (5448940385380).

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

4402002400220 is a wasteful number, since it uses less digits than its factorization.

4402002400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61047 (or 61045 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4402002400220 its reverse (220042002044), we get a palindrome (4622044402264).

The spelling of 4402002400220 in words is "four trillion, four hundred two billion, two million, four hundred thousand, two hundred twenty".