44000000066000 has 640 divisors, whose sum is σ = 124055466941952. Its totient is φ = 14916894720000.

The previous prime is 44000000065919. The next prime is 44000000066003. The reversal of 44000000066000 is 66000000044.

It is a Harshad number since it is a multiple of its sum of digits (20).

44000000066000 is a modest number, since divided by 66000 gives 44000 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44000000066003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18386960804 + ... + 18386963196.

Almost surely, 2^{44000000066000} is an apocalyptic number.

44000000066000 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 44000000066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62027733470976).

44000000066000 is an abundant number, since it is smaller than the sum of its proper divisors (80055466875952).

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

44000000066000 is a wasteful number, since it uses less digits than its factorization.

44000000066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 44000000066000 its reverse (66000000044), we get a palindrome (44066000066044).

The spelling of 44000000066000 in words is "forty-four trillion, sixty-six thousand", and thus it is an eban number.