444574242341700 has 576 divisors, whose sum is σ = 1387734399313920. Its totient is φ = 109492531200000.

The previous prime is 444574242341639. The next prime is 444574242341701. The reversal of 444574242341700 is 7143242475444.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (444574242341701) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 26304603250 + ... + 26304620150.

It is an arithmetic number, because the mean of its divisors is an integer number (2409261109920).

Almost surely, 2^{444574242341700} 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 444574242341700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693867199656960).

444574242341700 is an abundant number, since it is smaller than the sum of its proper divisors (943160156972220).

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

444574242341700 is a wasteful number, since it uses less digits than its factorization.

444574242341700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17488 (or 17481 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 51.

The spelling of 444574242341700 in words is "four hundred forty-four trillion, five hundred seventy-four billion, two hundred forty-two million, three hundred forty-one thousand, seven hundred".