441949309920 has 384 divisors, whose sum is σ = 1579918193280. Its totient is φ = 116799750144.

The previous prime is 441949309889. The next prime is 441949309939. The reversal of 441949309920 is 29903949144.

It is a happy number.

441949309920 is a `hidden beast` number, since 4 + 41 + 9 + 493 + 0 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39535372 + ... + 39546548.

It is an arithmetic number, because the mean of its divisors is an integer number (4114370295).

Almost surely, 2^441949309920 is an apocalyptic number.

441949309920 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 441949309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789959096640).

441949309920 is an abundant number, since it is smaller than the sum of its proper divisors (1137968883360).

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

441949309920 is a wasteful number, since it uses less digits than its factorization.

441949309920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11326 (or 11300 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 441949309920 in words is "four hundred forty-one billion, nine hundred forty-nine million, three hundred nine thousand, nine hundred twenty".