422212414413440 has 512 divisors, whose sum is σ = 1218497679360000. Its totient is φ = 136661225766912.

The previous prime is 422212414413431. The next prime is 422212414413457. The reversal of 422212414413440 is 44314414212224.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 422212414413394 and 422212414413403.

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, 101517770081 + ... + 101517774239.

It is an arithmetic number, because the mean of its divisors is an integer number (2379878280000).

Almost surely, 2^{422212414413440} is an apocalyptic number.

422212414413440 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 422212414413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609248839680000).

422212414413440 is an abundant number, since it is smaller than the sum of its proper divisors (796285264946560).

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

422212414413440 is a wasteful number, since it uses less digits than its factorization.

422212414413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 8068 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 38.

Adding to 422212414413440 its reverse (44314414212224), we get a palindrome (466526828625664).

The spelling of 422212414413440 in words is "four hundred twenty-two trillion, two hundred twelve billion, four hundred fourteen million, four hundred thirteen thousand, four hundred forty".