1340410000 has 100 divisors (see below), whose sum is σ = 3263255424. Its totient is φ = 533200000.

The previous prime is 1340409919. The next prime is 1340410003. The reversal of 1340410000 is 140431.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1340410003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3109785 + ... + 3110215.

Almost surely, 2^1340410000 is an apocalyptic number.

1340410000 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 1340410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631627712).

1340410000 is an abundant number, since it is smaller than the sum of its proper divisors (1922845424).

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

1340410000 is an equidigital number, since it uses as much as digits as its factorization.

1340410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 749 counting only the distinct ones).

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

The square root of 1340410000 is about 36611.6101803786. The cubic root of 1340410000 is about 1102.5862013386.

Adding to 1340410000 its reverse (140431), we get a palindrome (1340550431).

The spelling of 1340410000 in words is "one billion, three hundred forty million, four hundred ten thousand".