1005444223040 has 112 divisors (see below), whose sum is σ = 2435288747904. Its totient is φ = 395312332800.

The previous prime is 1005444222947. The next prime is 1005444223051. The reversal of 1005444223040 is 403224445001.

It is a junction number, because it is equal to n+sod(n) for n = 1005444222994 and 1005444223012.

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, 7453472 + ... + 7587168.

Almost surely, 2^{1005444223040} is an apocalyptic number.

1005444223040 is a gapful number since it is divisible by the number (10) 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 1005444223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217644373952).

1005444223040 is an abundant number, since it is smaller than the sum of its proper divisors (1429844524864).

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

1005444223040 is a wasteful number, since it uses less digits than its factorization.

1005444223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134116 (or 134106 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 1005444223040 its reverse (403224445001), we get a palindrome (1408668668041).

The spelling of 1005444223040 in words is "one trillion, five billion, four hundred forty-four million, two hundred twenty-three thousand, forty".