10343444114400 has 72 divisors (see below), whose sum is σ = 33667910600184. Its totient is φ = 2758251763200.

The previous prime is 10343444114383. The next prime is 10343444114401. The reversal of 10343444114400 is 441144434301.

10343444114400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10343444114400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343444114401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2154881791 + ... + 2154886590.

It is an arithmetic number, because the mean of its divisors is an integer number (467609869447).

Almost surely, 2^{10343444114400} is an apocalyptic number.

10343444114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343444114400 is an abundant number, since it is smaller than the sum of its proper divisors (23324466485784).

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

10343444114400 is a wasteful number, since it uses less digits than its factorization.

10343444114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309768404 (or 4309768391 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 10343444114400 its reverse (441144434301), we get a palindrome (10784588548701).

The spelling of 10343444114400 in words is "ten trillion, three hundred forty-three billion, four hundred forty-four million, one hundred fourteen thousand, four hundred".