10000030344000 has 448 divisors, whose sum is σ = 35567293612032. Its totient is φ = 2468446464000.

The previous prime is 10000030343999. The next prime is 10000030344001. The reversal of 10000030344000 is 44303000001.

It is an interprime number because it is at equal distance from previous prime (10000030343999) and next prime (10000030344001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000030344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16819807 + ... + 17404193.

It is an arithmetic number, because the mean of its divisors is an integer number (79391280384).

Almost surely, 2^{10000030344000} is an apocalyptic number.

10000030344000 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 10000030344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783646806016).

10000030344000 is an abundant number, since it is smaller than the sum of its proper divisors (25567263268032).

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

10000030344000 is a wasteful number, since it uses less digits than its factorization.

10000030344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584471 (or 584451 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10000030344000 its reverse (44303000001), we get a palindrome (10044333344001).

The spelling of 10000030344000 in words is "ten trillion, thirty million, three hundred forty-four thousand".