44001648000 has 384 divisors, whose sum is σ = 163134915840. Its totient is φ = 11354112000.

The previous prime is 44001647983. The next prime is 44001648011. The reversal of 44001648000 is 84610044.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×44001648000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4459072 + ... + 4468928.

It is an arithmetic number, because the mean of its divisors is an integer number (424830510).

Almost surely, 2^44001648000 is an apocalyptic number.

44001648000 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 44001648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81567457920).

44001648000 is an abundant number, since it is smaller than the sum of its proper divisors (119133267840).

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

44001648000 is a wasteful number, since it uses less digits than its factorization.

44001648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 44001648000 in words is "forty-four billion, one million, six hundred forty-eight thousand".