444269850196480 has 320 divisors, whose sum is σ = 1328371744981248. Its totient is φ = 138440121384960.

The previous prime is 444269850196433. The next prime is 444269850196531. The reversal of 444269850196480 is 84691058962444.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818368014 + ... + 818910706.

Almost surely, 2^{444269850196480} is an apocalyptic number.

444269850196480 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 444269850196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664185872490624).

444269850196480 is an abundant number, since it is smaller than the sum of its proper divisors (884101894784768).

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

444269850196480 is a wasteful number, since it uses less digits than its factorization.

444269850196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546887 (or 546871 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 70.

The spelling of 444269850196480 in words is "four hundred forty-four trillion, two hundred sixty-nine billion, eight hundred fifty million, one hundred ninety-six thousand, four hundred eighty".