10401340000000 has 144 divisors (see below), whose sum is σ = 25952545670688. Its totient is φ = 4160528000000.

The previous prime is 10401339999959. The next prime is 10401340000003. The reversal of 10401340000000 is 4310401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401340000003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19739967 + ... + 20260033.

It is an arithmetic number, because the mean of its divisors is an integer number (180226011602).

Almost surely, 2^{10401340000000} is an apocalyptic number.

10401340000000 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 10401340000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976272835344).

10401340000000 is an abundant number, since it is smaller than the sum of its proper divisors (15551205670688).

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

10401340000000 is an frugal number, since it uses more digits than its factorization.

10401340000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520118 (or 520074 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10401340000000 its reverse (4310401), we get a palindrome (10401344310401).

The spelling of 10401340000000 in words is "ten trillion, four hundred one billion, three hundred forty million", and thus it is an aban number.