1003433243040 has 144 divisors (see below), whose sum is σ = 3427725574728. Its totient is φ = 267307941888.

The previous prime is 1003433242979. The next prime is 1003433243089. The reversal of 1003433243040 is 403423343001.

1003433243040 is a `hidden beast` number, since 1 + 0 + 0 + 34 + 3 + 324 + 304 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 855617600016 + 147815643024 = 924996^2 + 384468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1003433242995 and 1003433243013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050264 + ... + 1763496.

Almost surely, 2^{1003433243040} is an apocalyptic number.

1003433243040 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 1003433243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713862787364).

1003433243040 is an abundant number, since it is smaller than the sum of its proper divisors (2424292331688).

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

1003433243040 is a wasteful number, since it uses less digits than its factorization.

1003433243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714231 (or 714220 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1003433243040 its reverse (403423343001), we get a palindrome (1406856586041).

The spelling of 1003433243040 in words is "one trillion, three billion, four hundred thirty-three million, two hundred forty-three thousand, forty".