1003134444400 has 120 divisors (see below), whose sum is σ = 2629644312528. Its totient is φ = 364704000000.

The previous prime is 1003134444383. The next prime is 1003134444401. The reversal of 1003134444400 is 44444313001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003134444401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25504750 + ... + 25544050.

Almost surely, 2^{1003134444400} is an apocalyptic number.

1003134444400 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 1003134444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314822156264).

1003134444400 is an abundant number, since it is smaller than the sum of its proper divisors (1626509868128).

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

1003134444400 is a wasteful number, since it uses less digits than its factorization.

1003134444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45131 (or 45120 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1003134444400 its reverse (44444313001), we get a palindrome (1047578757401).

The spelling of 1003134444400 in words is "one trillion, three billion, one hundred thirty-four million, four hundred forty-four thousand, four hundred".