4444264642000 has 40 divisors (see below), whose sum is σ = 10746231909192. Its totient is φ = 1777705856000.

The previous prime is 4444264641967. The next prime is 4444264642001. The reversal of 4444264642000 is 2464624444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1244759713344 + 3199504928656 = 1115688^2 + 1788716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444264642001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111064161 + ... + 1111068160.

Almost surely, 2^{4444264642000} is an apocalyptic number.

4444264642000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444264642000 is an abundant number, since it is smaller than the sum of its proper divisors (6301967267192).

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

4444264642000 is a wasteful number, since it uses less digits than its factorization.

4444264642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222132344 (or 2222132328 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 4444264642000 in words is "four trillion, four hundred forty-four billion, two hundred sixty-four million, six hundred forty-two thousand".