444107443434000 has 320 divisors, whose sum is σ = 1438364630676480. Its totient is φ = 117886648320000.

The previous prime is 444107443433947. The next prime is 444107443434071. The reversal of 444107443434000 is 434344701444.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835633040 + ... + 1835874960.

It is an arithmetic number, because the mean of its divisors is an integer number (4494889470864).

Almost surely, 2^{444107443434000} is an apocalyptic number.

444107443434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444107443434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719182315338240).

444107443434000 is an abundant number, since it is smaller than the sum of its proper divisors (994257187242480).

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

444107443434000 is a wasteful number, since it uses less digits than its factorization.

444107443434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243347 (or 243331 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 42.

The spelling of 444107443434000 in words is "four hundred forty-four trillion, one hundred seven billion, four hundred forty-three million, four hundred thirty-four thousand".