444419615299968 has 3072 divisors, whose sum is σ = 1697427513999360. Its totient is φ = 108327518208000.

The previous prime is 444419615299951. The next prime is 444419615299997. The reversal of 444419615299968 is 869992516914444.

444419615299968 is a `hidden beast` number, since 4 + 4 + 4 + 419 + 6 + 1 + 52 + 9 + 99 + 68 = 666.

It is a super-3 number, since 3×444419615299968³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2830698186546 + ... + 2830698186702.

It is an arithmetic number, because the mean of its divisors is an integer number (552548018880).

Almost surely, 2^{444419615299968} is an apocalyptic number.

444419615299968 is a gapful number since it is divisible by the number (48) 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 444419615299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848713756999680).

444419615299968 is an abundant number, since it is smaller than the sum of its proper divisors (1253007898699392).

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

444419615299968 is a wasteful number, since it uses less digits than its factorization.

444419615299968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 502 counting only the distinct ones).

The product of its digits is 4837294080, while the sum is 81.

The spelling of 444419615299968 in words is "four hundred forty-four trillion, four hundred nineteen billion, six hundred fifteen million, two hundred ninety-nine thousand, nine hundred sixty-eight".