422613404316224 has 84 divisors (see below), whose sum is σ = 922552692929532. Its totient is φ = 191938632483840.

The previous prime is 422613404316197. The next prime is 422613404316239.

422613404316224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 43484528718400 + 379128875597824 = 6594280^2 + 19471232^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13101587 + ... + 31888530.

It is an arithmetic number, because the mean of its divisors is an integer number (10982770153923).

Almost surely, 2^{422613404316224} is an apocalyptic number.

422613404316224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422613404316224 is an abundant number, since it is smaller than the sum of its proper divisors (499939288613308).

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

422613404316224 is a wasteful number, since it uses less digits than its factorization.

422613404316224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44991364 (or 44991343 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

It can be divided in two parts, 42261340 and 4316224, that added together give a palindrome (46577564).

The spelling of 422613404316224 in words is "four hundred twenty-two trillion, six hundred thirteen billion, four hundred four million, three hundred sixteen thousand, two hundred twenty-four".