44310012000 has 384 divisors, whose sum is σ = 150204233088. Its totient is φ = 11411456000.

The previous prime is 44310011987. The next prime is 44310012007. The reversal of 44310012000 is 21001344.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44310012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55595602 + ... + 55596398.

It is an arithmetic number, because the mean of its divisors is an integer number (391156857).

Almost surely, 2^44310012000 is an apocalyptic number.

44310012000 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 44310012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75102116544).

44310012000 is an abundant number, since it is smaller than the sum of its proper divisors (105894221088).

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

44310012000 is a wasteful number, since it uses less digits than its factorization.

44310012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 44310012000 its reverse (21001344), we get a palindrome (44331013344).

The spelling of 44310012000 in words is "forty-four billion, three hundred ten million, twelve thousand".