10003200334344 has 640 divisors, whose sum is σ = 32780816640000. Its totient is φ = 2791260518400.

The previous prime is 10003200334339. The next prime is 10003200334363. The reversal of 10003200334344 is 44343300230001.

10003200334344 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 320 + 0 + 334 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20046493407 + ... + 20046493905.

It is an arithmetic number, because the mean of its divisors is an integer number (51220026000).

Almost surely, 2^{10003200334344} is an apocalyptic number.

10003200334344 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 10003200334344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390408320000).

10003200334344 is an abundant number, since it is smaller than the sum of its proper divisors (22777616305656).

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

10003200334344 is a wasteful number, since it uses less digits than its factorization.

10003200334344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1122 counting only the distinct ones).

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

Adding to 10003200334344 its reverse (44343300230001), we get a palindrome (54346500564345).

The spelling of 10003200334344 in words is "ten trillion, three billion, two hundred million, three hundred thirty-four thousand, three hundred forty-four".