441515796480 has 1296 divisors, whose sum is σ = 1799772499980. Its totient is φ = 100002693120.

The previous prime is 441515796419. The next prime is 441515796521. The reversal of 441515796480 is 84697515144.

441515796480 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 1 + 579 + 64 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 333658727424 + 107857069056 = 577632^2 + 328416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3222742972 + ... + 3222743108.

Almost surely, 2^441515796480 is an apocalyptic number.

441515796480 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 441515796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899886249990).

441515796480 is an abundant number, since it is smaller than the sum of its proper divisors (1358256703500).

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

441515796480 is a wasteful number, since it uses less digits than its factorization.

441515796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 441515796480 in words is "four hundred forty-one billion, five hundred fifteen million, seven hundred ninety-six thousand, four hundred eighty".