44087282104320 has 3072 divisors, whose sum is σ = 200457234432000. Its totient is φ = 8943619276800.

The previous prime is 44087282104309. The next prime is 44087282104337. The reversal of 44087282104320 is 2340128278044.

44087282104320 is a `hidden beast` number, since 4 + 40 + 8 + 7 + 282 + 1 + 0 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81492203250 + ... + 81492203790.

It is an arithmetic number, because the mean of its divisors is an integer number (65253006000).

Almost surely, 2^{44087282104320} is an apocalyptic number.

44087282104320 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 44087282104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100228617216000).

44087282104320 is an abundant number, since it is smaller than the sum of its proper divisors (156369952327680).

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

44087282104320 is a wasteful number, since it uses less digits than its factorization.

44087282104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 44087282104320 in words is "forty-four trillion, eighty-seven billion, two hundred eighty-two million, one hundred four thousand, three hundred twenty".