444110020416342 has 96 divisors (see below), whose sum is σ = 1130428384180992. Its totient is φ = 123349217884992.

The previous prime is 444110020416329. The next prime is 444110020416343. The reversal of 444110020416342 is 243614020011444.

444110020416342 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 10 + 0 + 2 + 0 + 4 + 1 + 634 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444110020416297 and 444110020416306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444110020416343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37178508 + ... + 47649359.

It is an arithmetic number, because the mean of its divisors is an integer number (11775295668552).

Almost surely, 2^{444110020416342} is an apocalyptic number.

444110020416342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

444110020416342 is an abundant number, since it is smaller than the sum of its proper divisors (686318363764650).

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

444110020416342 is a wasteful number, since it uses less digits than its factorization.

444110020416342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84829042 (or 84829039 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 444110020416342 its reverse (243614020011444), we get a palindrome (687724040427786).

The spelling of 444110020416342 in words is "four hundred forty-four trillion, one hundred ten billion, twenty million, four hundred sixteen thousand, three hundred forty-two".