444755366552640 has 448 divisors, whose sum is σ = 1659743850627072. Its totient is φ = 99479168409600.

The previous prime is 444755366552597. The next prime is 444755366552671. The reversal of 444755366552640 is 46255663557444.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 63 ways as a sum of consecutive naturals, for example, 293435145 + ... + 294946935.

It is an arithmetic number, because the mean of its divisors is an integer number (3704785380864).

Almost surely, 2^{444755366552640} is an apocalyptic number.

444755366552640 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 444755366552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829871925313536).

444755366552640 is an abundant number, since it is smaller than the sum of its proper divisors (1214988484074432).

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

444755366552640 is a wasteful number, since it uses less digits than its factorization.

444755366552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513978 (or 1513968 counting only the distinct ones).

The product of its (nonzero) digits is 1451520000, while the sum is 66.

The spelling of 444755366552640 in words is "four hundred forty-four trillion, seven hundred fifty-five billion, three hundred sixty-six million, five hundred fifty-two thousand, six hundred forty".