1340400010000 has 200 divisors, whose sum is σ = 3465465696000. Its totient is φ = 500969280000.

The previous prime is 1340400009973. The next prime is 1340400010007. The reversal of 1340400010000 is 100040431.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (1340400010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8915451 + ... + 9064549.

It is an arithmetic number, because the mean of its divisors is an integer number (17327328480).

Almost surely, 2^{1340400010000} is an apocalyptic number.

1340400010000 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 1340400010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732732848000).

1340400010000 is an abundant number, since it is smaller than the sum of its proper divisors (2125065686000).

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

1340400010000 is a wasteful number, since it uses less digits than its factorization.

1340400010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149187 (or 149166 counting only the distinct ones).

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

Adding to 1340400010000 its reverse (100040431), we get a palindrome (1340500050431).

The spelling of 1340400010000 in words is "one trillion, three hundred forty billion, four hundred million, ten thousand".