444378909873444 has 192 divisors, whose sum is σ = 1308956488358400. Its totient is φ = 116591582822400.

The previous prime is 444378909873421. The next prime is 444378909873449.

444378909873444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444378909873444² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 444378909873444.

It is not an unprimeable number, because it can be changed into a prime (444378909873449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11188257 + ... + 31842344.

It is an arithmetic number, because the mean of its divisors is an integer number (6817481710200).

Almost surely, 2^{444378909873444} is an apocalyptic number.

It is an amenable number.

444378909873444 is an abundant number, since it is smaller than the sum of its proper divisors (864577578484956).

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

444378909873444 is a wasteful number, since it uses less digits than its factorization.

444378909873444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43030835 (or 43030819 counting only the distinct ones).

The product of its (nonzero) digits is 9364045824, while the sum is 78.

The spelling of 444378909873444 in words is "four hundred forty-four trillion, three hundred seventy-eight billion, nine hundred nine million, eight hundred seventy-three thousand, four hundred forty-four".