240445440000 has 450 divisors, whose sum is σ = 868303546110. Its totient is φ = 64094208000.

The previous prime is 240445439947. The next prime is 240445440013. The reversal of 240445440000 is 44544042.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 96507150336 + 143938289664 = 310656^2 + 379392^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 92158696 + ... + 92161304.

Almost surely, 2^240445440000 is an apocalyptic number.

240445440000 is a gapful number since it is divisible by the number (20) 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 240445440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434151773055).

240445440000 is an abundant number, since it is smaller than the sum of its proper divisors (627858106110).

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

240445440000 is an frugal number, since it uses more digits than its factorization.

240445440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 240445440000 its reverse (44544042), we get a palindrome (240489984042).

The spelling of 240445440000 in words is "two hundred forty billion, four hundred forty-five million, four hundred forty thousand".