4444313213000 has 64 divisors (see below), whose sum is σ = 11011439602800. Its totient is φ = 1673153203200.

The previous prime is 4444313212961. The next prime is 4444313213009. The reversal of 4444313213000 is 3123134444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1112176941604 + 3332136271396 = 1054598^2 + 1825414^2 .

It is not an unprimeable number, because it can be changed into a prime (4444313213009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130698095 + ... + 130732094.

Almost surely, 2^{4444313213000} is an apocalyptic number.

4444313213000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444313213000 is an abundant number, since it is smaller than the sum of its proper divisors (6567126389800).

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

4444313213000 is a wasteful number, since it uses less digits than its factorization.

4444313213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261430227 (or 261430213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4444313213000 its reverse (3123134444), we get a palindrome (4447436347444).

The spelling of 4444313213000 in words is "four trillion, four hundred forty-four billion, three hundred thirteen million, two hundred thirteen thousand".