422211214313440 has 96 divisors (see below), whose sum is σ = 1004876444636064. Its totient is φ = 167631459164160.

The previous prime is 422211214313411. The next prime is 422211214313459. The reversal of 422211214313440 is 44313412112224.

It is a junction number, because it is equal to n+sod(n) for n = 422211214313396 and 422211214313405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180577132 + ... + 182900308.

It is an arithmetic number, because the mean of its divisors is an integer number (10467462964959).

Almost surely, 2^{422211214313440} is an apocalyptic number.

422211214313440 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 422211214313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502438222318032).

422211214313440 is an abundant number, since it is smaller than the sum of its proper divisors (582665230322624).

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

422211214313440 is a wasteful number, since it uses less digits than its factorization.

422211214313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331620 (or 2331612 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 422211214313440 its reverse (44313412112224), we get a palindrome (466524626425664).

The spelling of 422211214313440 in words is "four hundred twenty-two trillion, two hundred eleven billion, two hundred fourteen million, three hundred thirteen thousand, four hundred forty".