422231404132224 has 96 divisors (see below), whose sum is σ = 1216214273547000. Its totient is φ = 140604863376384.

The previous prime is 422231404132211. The next prime is 422231404132259.

422231404132224 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 3 + 14 + 0 + 413 + 2 + 224 = 666.

422231404132224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×422231404132224³ (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 11 ways as a sum of consecutive naturals, for example, 179741374 + ... + 182075325.

Almost surely, 2^{422231404132224} is an apocalyptic number.

It is an amenable number.

422231404132224 is an abundant number, since it is smaller than the sum of its proper divisors (793982869414776).

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

422231404132224 is a wasteful number, since it uses less digits than its factorization.

422231404132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361817732 (or 361817717 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 42223140 and 4132224, that added together give a palindrome (46355364).

The spelling of 422231404132224 in words is "four hundred twenty-two trillion, two hundred thirty-one billion, four hundred four million, one hundred thirty-two thousand, two hundred twenty-four".