44443516803840 has 3456 divisors, whose sum is σ = 211568151674880. Its totient is φ = 8653381632000.

The previous prime is 44443516803839. The next prime is 44443516803877. The reversal of 44443516803840 is 4830861534444.

44443516803840 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 3 + 516 + 80 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45960203037 + ... + 45960204003.

It is an arithmetic number, because the mean of its divisors is an integer number (61217636480).

Almost surely, 2^{44443516803840} is an apocalyptic number.

44443516803840 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 44443516803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105784075837440).

44443516803840 is an abundant number, since it is smaller than the sum of its proper divisors (167124634871040).

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

44443516803840 is a wasteful number, since it uses less digits than its factorization.

44443516803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 44443516803840 in words is "forty-four trillion, four hundred forty-three billion, five hundred sixteen million, eight hundred three thousand, eight hundred forty".