444785436714240 has 1440 divisors, whose sum is σ = 1625981421335040. Its totient is φ = 116557341990912.

The previous prime is 444785436714209. The next prime is 444785436714247. The reversal of 444785436714240 is 42417634587444.

444785436714240 is a `hidden beast` number, since 4 + 4 + 4 + 7 + 8 + 543 + 6 + 7 + 1 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×444785436714240² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444785436714247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 374713930927 + ... + 374713932113.

It is an arithmetic number, because the mean of its divisors is an integer number (1129153764816).

Almost surely, 2^{444785436714240} is an apocalyptic number.

444785436714240 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 444785436714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812990710667520).

444785436714240 is an abundant number, since it is smaller than the sum of its proper divisors (1181195984620800).

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

444785436714240 is an equidigital number, since it uses as much as digits as its factorization.

444785436714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 63.

The spelling of 444785436714240 in words is "four hundred forty-four trillion, seven hundred eighty-five billion, four hundred thirty-six million, seven hundred fourteen thousand, two hundred forty".