44114002010000 has 100 divisors (see below), whose sum is σ = 115020134472012. Its totient is φ = 16288246848000.

The previous prime is 44114002009943. The next prime is 44114002010003. The reversal of 44114002010000 is 1020041144.

It can be written as a sum of positive squares in 10 ways, for example, as 39146595212176 + 4967406797824 = 6256724^2 + 2228768^2 .

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 (44114002010003) 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, 169539239 + ... + 169799238.

Almost surely, 2^{44114002010000} is an apocalyptic number.

44114002010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44114002010000 is an abundant number, since it is smaller than the sum of its proper divisors (70906132462012).

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

44114002010000 is a wasteful number, since it uses less digits than its factorization.

44114002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339338518 (or 339338497 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 44114002010000 its reverse (1020041144), we get a palindrome (44115022051144).

The spelling of 44114002010000 in words is "forty-four trillion, one hundred fourteen billion, two million, ten thousand".