422114242411224 has 288 divisors, whose sum is σ = 1278057651670800. Its totient is φ = 125730090393600.

The previous prime is 422114242411171. The next prime is 422114242411229.

422114242411224 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 1 + 4 + 2 + 424 + 1 + 1 + 224 = 666.

422114242411224 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422114242411229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4647100912 + ... + 4647191744.

Almost surely, 2^{422114242411224} is an apocalyptic number.

422114242411224 is a gapful number since it is divisible by the number (44) 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 422114242411224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639028825835400).

422114242411224 is an abundant number, since it is smaller than the sum of its proper divisors (855943409259576).

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

422114242411224 is a wasteful number, since it uses less digits than its factorization.

422114242411224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99967 (or 99949 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 422114242411224 in words is "four hundred twenty-two trillion, one hundred fourteen billion, two hundred forty-two million, four hundred eleven thousand, two hundred twenty-four".