441474491520 has 384 divisors, whose sum is σ = 1567110504960. Its totient is φ = 114458738688.

The previous prime is 441474491503. The next prime is 441474491527. The reversal of 441474491520 is 25194474144.

441474491520 is a `hidden beast` number, since 4 + 4 + 14 + 74 + 49 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (441474491527) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55228644 + ... + 55236636.

It is an arithmetic number, because the mean of its divisors is an integer number (4081016940).

Almost surely, 2^441474491520 is an apocalyptic number.

441474491520 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 441474491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783555252480).

441474491520 is an abundant number, since it is smaller than the sum of its proper divisors (1125636013440).

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

441474491520 is a wasteful number, since it uses less digits than its factorization.

441474491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 441474491520 in words is "four hundred forty-one billion, four hundred seventy-four million, four hundred ninety-one thousand, five hundred twenty".