445042240000 has 100 divisors (see below), whose sum is σ = 1111164183954. Its totient is φ = 178016768000.

The previous prime is 445042239989. The next prime is 445042240051. The reversal of 445042240000 is 42240544.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 590684416 + 444451555584 = 24304^2 + 666672^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×445042240000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 375379 + ... + 1015378.

Almost surely, 2^445042240000 is an apocalyptic number.

445042240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445042240000 is an abundant number, since it is smaller than the sum of its proper divisors (666121943954).

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

445042240000 is an frugal number, since it uses more digits than its factorization.

445042240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390795 (or 1390764 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 445042240000 its reverse (42240544), we get a palindrome (445084480544).

The spelling of 445042240000 in words is "four hundred forty-five billion, forty-two million, two hundred forty thousand".