444670295041672 has 128 divisors (see below), whose sum is σ = 982657834329600. Its totient is φ = 184712095346688.

The previous prime is 444670295041669. The next prime is 444670295041673. The reversal of 444670295041672 is 276140592076444.

It is a self number, because there is not a number n which added to its sum of digits gives 444670295041672.

It is not an unprimeable number, because it can be changed into a prime (444670295041673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106984213 + ... + 111062875.

It is an arithmetic number, because the mean of its divisors is an integer number (7677014330700).

Almost surely, 2^{444670295041672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444670295041672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491328917164800).

444670295041672 is an abundant number, since it is smaller than the sum of its proper divisors (537987539287928).

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

444670295041672 is a wasteful number, since it uses less digits than its factorization.

444670295041672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079175 (or 4079171 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 61.

The spelling of 444670295041672 in words is "four hundred forty-four trillion, six hundred seventy billion, two hundred ninety-five million, forty-one thousand, six hundred seventy-two".