44233406484480 has 624 divisors, whose sum is σ = 160643368214784. Its totient is φ = 11673843793920.

The previous prime is 44233406484469. The next prime is 44233406484497. The reversal of 44233406484480 is 8448460433244.

44233406484480 is a `hidden beast` number, since 4 + 4 + 23 + 3 + 4 + 0 + 64 + 84 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482688265 + ... + 482779895.

It is an arithmetic number, because the mean of its divisors is an integer number (257441295216).

Almost surely, 2^{44233406484480} is an apocalyptic number.

44233406484480 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 44233406484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80321684107392).

44233406484480 is an abundant number, since it is smaller than the sum of its proper divisors (116409961730304).

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

44233406484480 is an frugal number, since it uses more digits than its factorization.

44233406484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91772 (or 91738 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 54.

The spelling of 44233406484480 in words is "forty-four trillion, two hundred thirty-three billion, four hundred six million, four hundred eighty-four thousand, four hundred eighty".