1006224730440 has 64 divisors (see below), whose sum is σ = 3021796229760. Its totient is φ = 268049080320.

The previous prime is 1006224730369. The next prime is 1006224730447. The reversal of 1006224730440 is 440374226001.

1006224730440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1006224730447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4219641 + ... + 4451720.

It is an arithmetic number, because the mean of its divisors is an integer number (47215566090).

Almost surely, 2^{1006224730440} is an apocalyptic number.

1006224730440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006224730440 is an abundant number, since it is smaller than the sum of its proper divisors (2015571499320).

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

1006224730440 is a wasteful number, since it uses less digits than its factorization.

1006224730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672342 (or 8672338 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 1006224730440 its reverse (440374226001), we get a palindrome (1446598956441).

The spelling of 1006224730440 in words is "one trillion, six billion, two hundred twenty-four million, seven hundred thirty thousand, four hundred forty".