445760012000 has 96 divisors (see below), whose sum is σ = 1101953178144. Its totient is φ = 177209856000.

The previous prime is 445760011999. The next prime is 445760012011. The reversal of 445760012000 is 210067544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310160 + ... + 993840.

It is an arithmetic number, because the mean of its divisors is an integer number (11478678939).

Almost surely, 2^445760012000 is an apocalyptic number.

445760012000 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 445760012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550976589072).

445760012000 is an abundant number, since it is smaller than the sum of its proper divisors (656193166144).

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

445760012000 is a wasteful number, since it uses less digits than its factorization.

445760012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683869 (or 683851 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 445760012000 its reverse (210067544), we get a palindrome (445970079544).

The spelling of 445760012000 in words is "four hundred forty-five billion, seven hundred sixty million, twelve thousand".