4444646400440 has 32 divisors (see below), whose sum is σ = 10000709120160. Its totient is φ = 1777813276800.

The previous prime is 4444646400421. The next prime is 4444646400463. The reversal of 4444646400440 is 440046464444.

It is a junction number, because it is equal to n+sod(n) for n = 4444646400391 and 4444646400400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197645 + ... + 2988035.

It is an arithmetic number, because the mean of its divisors is an integer number (312522160005).

Almost surely, 2^{4444646400440} is an apocalyptic number.

4444646400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444646400440 is an abundant number, since it is smaller than the sum of its proper divisors (5556062719720).

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

4444646400440 is a wasteful number, since it uses less digits than its factorization.

4444646400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830223 (or 2830219 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 44.

The spelling of 4444646400440 in words is "four trillion, four hundred forty-four billion, six hundred forty-six million, four hundred thousand, four hundred forty".