444216414505542 has 192 divisors, whose sum is σ = 1066393104537600. Its totient is φ = 122939299494144.

The previous prime is 444216414505541. The next prime is 444216414505639. The reversal of 444216414505542 is 245505414612444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444216414505541) 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 95 ways as a sum of consecutive naturals, for example, 569920863 + ... + 570699765.

It is an arithmetic number, because the mean of its divisors is an integer number (5554130752800).

Almost surely, 2^{444216414505542} is an apocalyptic number.

444216414505542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 444216414505542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533196552268800).

444216414505542 is an abundant number, since it is smaller than the sum of its proper divisors (622176690032058).

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

444216414505542 is a wasteful number, since it uses less digits than its factorization.

444216414505542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779395 (or 779388 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 51.

The spelling of 444216414505542 in words is "four hundred forty-four trillion, two hundred sixteen billion, four hundred fourteen million, five hundred five thousand, five hundred forty-two".