1340400034100 has 18 divisors (see below), whose sum is σ = 2908668074214. Its totient is φ = 536160013600.

The previous prime is 1340400034091. The next prime is 1340400034109. The reversal of 1340400034100 is 14300040431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1340400034091) and next prime (1340400034109).

It can be written as a sum of positive squares in 3 ways, for example, as 131570151076 + 1208829883024 = 362726^2 + 1099468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340400034109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6702000071 + ... + 6702000270.

Almost surely, 2^{1340400034100} is an apocalyptic number.

1340400034100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340400034100 is an abundant number, since it is smaller than the sum of its proper divisors (1568268040114).

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

1340400034100 is a wasteful number, since it uses less digits than its factorization.

1340400034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13404000355 (or 13404000348 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1340400034100 its reverse (14300040431), we get a palindrome (1354700074531).

The spelling of 1340400034100 in words is "one trillion, three hundred forty billion, four hundred million, thirty-four thousand, one hundred".