10003129657444 has 96 divisors (see below), whose sum is σ = 21960607931136. Its totient is φ = 3873179566080.

The previous prime is 10003129657439. The next prime is 10003129657561. The reversal of 10003129657444 is 44475692130001.

It is a super-2 number, since 2×10003129657444² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10003129657394 and 10003129657403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34128622 + ... + 34420474.

It is an arithmetic number, because the mean of its divisors is an integer number (228756332616).

Almost surely, 2^{10003129657444} is an apocalyptic number.

10003129657444 is a gapful number since it is divisible by the number (14) 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 10003129657444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980303965568).

10003129657444 is an abundant number, since it is smaller than the sum of its proper divisors (11957478273692).

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

10003129657444 is a wasteful number, since it uses less digits than its factorization.

10003129657444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292565 (or 292563 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 10003129657444 in words is "ten trillion, three billion, one hundred twenty-nine million, six hundred fifty-seven thousand, four hundred forty-four".