444024314200404 has 144 divisors (see below), whose sum is σ = 1289415230346880. Its totient is φ = 126203628994560.

The previous prime is 444024314200399. The next prime is 444024314200459. The reversal of 444024314200404 is 404002413420444.

It is a happy number.

444024314200404 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 2 + 43 + 1 + 4 + 200 + 404 = 666.

It is a super-2 number, since 2×444024314200404² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2546931519 + ... + 2547105849.

Almost surely, 2^{444024314200404} 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 444024314200404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644707615173440).

444024314200404 is an abundant number, since it is smaller than the sum of its proper divisors (845390916146476).

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

444024314200404 is a wasteful number, since it uses less digits than its factorization.

444024314200404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226910 (or 226905 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 444024314200404 its reverse (404002413420444), we get a palindrome (848026727620848).

The spelling of 444024314200404 in words is "four hundred forty-four trillion, twenty-four billion, three hundred fourteen million, two hundred thousand, four hundred four".