4202444622480 has 320 divisors, whose sum is σ = 14976121466880. Its totient is φ = 966199449600.

The previous prime is 4202444622419. The next prime is 4202444622503. The reversal of 4202444622480 is 842264442024.

It is a super-2 number, since 2×4202444622480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3709645 + ... + 4708115.

It is an arithmetic number, because the mean of its divisors is an integer number (46800379584).

Almost surely, 2^{4202444622480} is an apocalyptic number.

4202444622480 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 4202444622480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488060733440).

4202444622480 is an abundant number, since it is smaller than the sum of its proper divisors (10773676844400).

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

4202444622480 is a wasteful number, since it uses less digits than its factorization.

4202444622480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998590 (or 998584 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 42.

The spelling of 4202444622480 in words is "four trillion, two hundred two billion, four hundred forty-four million, six hundred twenty-two thousand, four hundred eighty".