444324121920 has 448 divisors, whose sum is σ = 1793658754560. Its totient is φ = 101431885824.

The previous prime is 444324121907. The next prime is 444324121949. The reversal of 444324121920 is 29121423444.

444324121920 is a `hidden beast` number, since 4 + 4 + 432 + 4 + 1 + 219 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 53036772 + ... + 53045148.

Almost surely, 2^444324121920 is an apocalyptic number.

444324121920 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 444324121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896829377280).

444324121920 is an abundant number, since it is smaller than the sum of its proper divisors (1349334632640).

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

444324121920 is a wasteful number, since it uses less digits than its factorization.

444324121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287 (or 9271 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 444324121920 in words is "four hundred forty-four billion, three hundred twenty-four million, one hundred twenty-one thousand, nine hundred twenty".