44004364000 has 192 divisors, whose sum is σ = 114769654272. Its totient is φ = 16524288000.

The previous prime is 44004363971. The next prime is 44004364009. The reversal of 44004364000 is 46340044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44004364009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44403505 + ... + 44404495.

It is an arithmetic number, because the mean of its divisors is an integer number (597758616).

Almost surely, 2^44004364000 is an apocalyptic number.

44004364000 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 44004364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57384827136).

44004364000 is an abundant number, since it is smaller than the sum of its proper divisors (70765290272).

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

44004364000 is a wasteful number, since it uses less digits than its factorization.

44004364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The spelling of 44004364000 in words is "forty-four billion, four million, three hundred sixty-four thousand".