1340101100214 has 128 divisors (see below), whose sum is σ = 3162445056000. Its totient is φ = 420001231104.

The previous prime is 1340101100201. The next prime is 1340101100297. The reversal of 1340101100214 is 4120011010431.

1340101100214 is a `hidden beast` number, since 1 + 340 + 1 + 0 + 110 + 0 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8956929 + ... + 9105315.

It is an arithmetic number, because the mean of its divisors is an integer number (24706602000).

Almost surely, 2^{1340101100214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340101100214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581222528000).

1340101100214 is an abundant number, since it is smaller than the sum of its proper divisors (1822343955786).

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

1340101100214 is a wasteful number, since it uses less digits than its factorization.

1340101100214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148579 (or 148573 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1340101100214 its reverse (4120011010431), we get a palindrome (5460112110645).

The spelling of 1340101100214 in words is "one trillion, three hundred forty billion, one hundred one million, one hundred thousand, two hundred fourteen".