444330034313440 has 96 divisors (see below), whose sum is σ = 1146154610442240. Its totient is φ = 161434179648000.

The previous prime is 444330034313413. The next prime is 444330034313527. The reversal of 444330034313440 is 44313430033444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 444330034313393 and 444330034313402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107644200 + ... + 111695719.

It is an arithmetic number, because the mean of its divisors is an integer number (11939110525440).

Almost surely, 2^{444330034313440} is an apocalyptic number.

444330034313440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444330034313440 is an abundant number, since it is smaller than the sum of its proper divisors (701824576128800).

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

444330034313440 is a wasteful number, since it uses less digits than its factorization.

444330034313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219341096 (or 219341088 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 444330034313440 its reverse (44313430033444), we get a palindrome (488643464346884).

The spelling of 444330034313440 in words is "four hundred forty-four trillion, three hundred thirty billion, thirty-four million, three hundred thirteen thousand, four hundred forty".