444200406424608 has 192 divisors, whose sum is σ = 1259716690794240. Its totient is φ = 136632595427328.

The previous prime is 444200406424601. The next prime is 444200406424639. The reversal of 444200406424608 is 806424604002444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (444200406424601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74811310 + ... + 80530322.

It is an arithmetic number, because the mean of its divisors is an integer number (6561024431220).

Almost surely, 2^{444200406424608} is an apocalyptic number.

444200406424608 is a gapful number since it is divisible by the number (48) 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 444200406424608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629858345397120).

444200406424608 is an abundant number, since it is smaller than the sum of its proper divisors (815516284369632).

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

444200406424608 is a wasteful number, since it uses less digits than its factorization.

444200406424608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720291 (or 5720283 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 48.

The spelling of 444200406424608 in words is "four hundred forty-four trillion, two hundred billion, four hundred six million, four hundred twenty-four thousand, six hundred eight".