444041555060064 has 384 divisors, whose sum is σ = 1333685352384000. Its totient is φ = 128228102258688.

The previous prime is 444041555060003. The next prime is 444041555060071. The reversal of 444041555060064 is 460060555140444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 444041555059995 and 444041555060022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21527189719 + ... + 21527210345.

It is an arithmetic number, because the mean of its divisors is an integer number (3473138938500).

Almost surely, 2^{444041555060064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444041555060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666842676192000).

444041555060064 is an abundant number, since it is smaller than the sum of its proper divisors (889643797323936).

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

444041555060064 is a wasteful number, since it uses less digits than its factorization.

444041555060064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29110 (or 29102 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 444041555060064 in words is "four hundred forty-four trillion, forty-one billion, five hundred fifty-five million, sixty thousand, sixty-four".