442414221002331 has 16 divisors (see below), whose sum is σ = 598691534496000. Its totient is φ = 290539884922848.

The previous prime is 442414221002329. The next prime is 442414221002353. The reversal of 442414221002331 is 133200122414244.

It is not a de Polignac number, because 442414221002331 - 2¹ = 442414221002329 is a prime.

It is a super-2 number, since 2×442414221002331² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442414221002292 and 442414221002301.

It is not an unprimeable number, because it can be changed into a prime (442414221002311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75442965 + ... + 81095433.

It is an arithmetic number, because the mean of its divisors is an integer number (37418220906000).

Almost surely, 2^{442414221002331} is an apocalyptic number.

442414221002331 is a deficient number, since it is larger than the sum of its proper divisors (156277313493669).

442414221002331 is a wasteful number, since it uses less digits than its factorization.

442414221002331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041938.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 442414221002331 its reverse (133200122414244), we get a palindrome (575614343416575).

The spelling of 442414221002331 in words is "four hundred forty-two trillion, four hundred fourteen billion, two hundred twenty-one million, two thousand, three hundred thirty-one".