44441946000 has 200 divisors, whose sum is σ = 160528186104. Its totient is φ = 11851142400.

The previous prime is 44441945959. The next prime is 44441946001. The reversal of 44441946000 is 64914444.

44441946000 is a `hidden beast` number, since 4 + 4 + 4 + 41 + 9 + 4 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 422549136 + 44019396864 = 20556^2 + 209808^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×44441946000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44441946001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24834 + ... + 299166.

Almost surely, 2^44441946000 is an apocalyptic number.

44441946000 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 44441946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80264093052).

44441946000 is an abundant number, since it is smaller than the sum of its proper divisors (116086240104).

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

44441946000 is a wasteful number, since it uses less digits than its factorization.

44441946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274368 (or 274343 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 44441946000 in words is "forty-four billion, four hundred forty-one million, nine hundred forty-six thousand".