1003343442400 has 288 divisors, whose sum is σ = 2784310230240. Its totient is φ = 350000455680.

The previous prime is 1003343442397. The next prime is 1003343442421. The reversal of 1003343442400 is 42443433001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73697994 + ... + 73711606.

It is an arithmetic number, because the mean of its divisors is an integer number (9667743855).

Almost surely, 2^{1003343442400} is an apocalyptic number.

1003343442400 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 1003343442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392155115120).

1003343442400 is an abundant number, since it is smaller than the sum of its proper divisors (1780966787840).

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

1003343442400 is a wasteful number, since it uses less digits than its factorization.

1003343442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14038 (or 14025 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 1003343442400 its reverse (42443433001), we get a palindrome (1045786875401).

The spelling of 1003343442400 in words is "one trillion, three billion, three hundred forty-three million, four hundred forty-two thousand, four hundred".