10003300424040 has 512 divisors, whose sum is σ = 38457881395200. Its totient is φ = 2020759695360.

The previous prime is 10003300423997. The next prime is 10003300424041. The reversal of 10003300424040 is 4042400330001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10003300423998 and 10003300424016.

It is not an unprimeable number, because it can be changed into a prime (10003300424041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 437253082 + ... + 437275958.

It is an arithmetic number, because the mean of its divisors is an integer number (75113049600).

Almost surely, 2^{10003300424040} is an apocalyptic number.

10003300424040 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 10003300424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19228940697600).

10003300424040 is an abundant number, since it is smaller than the sum of its proper divisors (28454580971160).

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

10003300424040 is a wasteful number, since it uses less digits than its factorization.

10003300424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24225 (or 24221 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10003300424040 its reverse (4042400330001), we get a palindrome (14045700754041).

The spelling of 10003300424040 in words is "ten trillion, three billion, three hundred million, four hundred twenty-four thousand, forty".