444102343320040 has 64 divisors (see below), whose sum is σ = 1113693182971200. Its totient is φ = 158391919346688.

The previous prime is 444102343319993. The next prime is 444102343320047. The reversal of 444102343320040 is 40023343201444.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 444102343319978 and 444102343320005.

It is not an unprimeable number, because it can be changed into a prime (444102343320047) 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, 17186610274 + ... + 17186636113.

It is an arithmetic number, because the mean of its divisors is an integer number (17401455983925).

Almost surely, 2^{444102343320040} is an apocalyptic number.

444102343320040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444102343320040 is an abundant number, since it is smaller than the sum of its proper divisors (669590839651160).

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

444102343320040 is a wasteful number, since it uses less digits than its factorization.

444102343320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34373246434 (or 34373246430 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 444102343320040 its reverse (40023343201444), we get a palindrome (484125686521484).

The spelling of 444102343320040 in words is "four hundred forty-four trillion, one hundred two billion, three hundred forty-three million, three hundred twenty thousand, forty".