10343241330400 has 288 divisors, whose sum is σ = 29285943579648. Its totient is φ = 3529765324800.

The previous prime is 10343241330391. The next prime is 10343241330463. The reversal of 10343241330400 is 403314234301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10245097 + ... + 11209303.

It is an arithmetic number, because the mean of its divisors is an integer number (101687304096).

Almost surely, 2^{10343241330400} is an apocalyptic number.

10343241330400 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 10343241330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642971789824).

10343241330400 is an abundant number, since it is smaller than the sum of its proper divisors (18942702249248).

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

10343241330400 is a wasteful number, since it uses less digits than its factorization.

10343241330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964314 (or 964301 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10343241330400 its reverse (403314234301), we get a palindrome (10746555564701).

The spelling of 10343241330400 in words is "ten trillion, three hundred forty-three billion, two hundred forty-one million, three hundred thirty thousand, four hundred".