445776041354560 has 448 divisors, whose sum is σ = 1326293242085376. Its totient is φ = 139170277785600.

The previous prime is 445776041354537. The next prime is 445776041354563. The reversal of 445776041354560 is 65453140677544.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445776041354563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4682916565 + ... + 4683011755.

Almost surely, 2^{445776041354560} is an apocalyptic number.

445776041354560 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 445776041354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663146621042688).

445776041354560 is an abundant number, since it is smaller than the sum of its proper divisors (880517200730816).

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

445776041354560 is a wasteful number, since it uses less digits than its factorization.

445776041354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99230 (or 99220 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 61.

The spelling of 445776041354560 in words is "four hundred forty-five trillion, seven hundred seventy-six billion, forty-one million, three hundred fifty-four thousand, five hundred sixty".