422413122414420 has 432 divisors, whose sum is σ = 1391714240716800. Its totient is φ = 103640131903488.

The previous prime is 422413122414419. The next prime is 422413122414431. The reversal of 422413122414420 is 24414221314224.

422413122414420 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 1 + 3 + 1 + 224 + 1 + 4 + 420 = 666.

It is a super-3 number, since 3×422413122414420³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2095212781 + ... + 2095414379.

It is an arithmetic number, because the mean of its divisors is an integer number (3221560742400).

Almost surely, 2^{422413122414420} 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 422413122414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695857120358400).

422413122414420 is an abundant number, since it is smaller than the sum of its proper divisors (969301118302380).

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

422413122414420 is a wasteful number, since it uses less digits than its factorization.

422413122414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202552 (or 202530 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 422413122414420 its reverse (24414221314224), we get a palindrome (446827343728644).

The spelling of 422413122414420 in words is "four hundred twenty-two trillion, four hundred thirteen billion, one hundred twenty-two million, four hundred fourteen thousand, four hundred twenty".