44004519057408 has 384 divisors, whose sum is σ = 152883380482560. Its totient is φ = 10922903470080.

The previous prime is 44004519057397. The next prime is 44004519057497. The reversal of 44004519057408 is 80475091540044.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7189903 + ... + 11819633.

It is an arithmetic number, because the mean of its divisors is an integer number (398133803340).

Almost surely, 2^{44004519057408} is an apocalyptic number.

44004519057408 is a gapful number since it is divisible by the number (48) 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 44004519057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76441690241280).

44004519057408 is an abundant number, since it is smaller than the sum of its proper divisors (108878861425152).

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

44004519057408 is a wasteful number, since it uses less digits than its factorization.

44004519057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629793 (or 4629773 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 44004519057408 in words is "forty-four trillion, four billion, five hundred nineteen million, fifty-seven thousand, four hundred eight".