44002010000 has 100 divisors (see below), whose sum is σ = 114728472012. Its totient is φ = 16246848000.

The previous prime is 44002009999. The next prime is 44002010009. The reversal of 44002010000 is 1020044.

44002010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 39586673296 + 4415336704 = 198964^2 + 66448^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (44002010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39239 + ... + 299238.

Almost surely, 2^44002010000 is an apocalyptic number.

44002010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57364236006).

44002010000 is an abundant number, since it is smaller than the sum of its proper divisors (70726462012).

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

44002010000 is a wasteful number, since it uses less digits than its factorization.

44002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338518 (or 338497 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 44002010000 its reverse (1020044), we get a palindrome (44003030044).

The spelling of 44002010000 in words is "forty-four billion, two million, ten thousand".