1340242200 has 576 divisors, whose sum is σ = 5362156800. Its totient is φ = 307929600.

The previous prime is 1340242187. The next prime is 1340242213. The reversal of 1340242200 is 22420431.

1340242200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1340242187) and next prime (1340242213).

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 143 ways as a sum of consecutive naturals, for example, 12295746 + ... + 12295854.

It is an arithmetic number, because the mean of its divisors is an integer number (9309300).

Almost surely, 2^1340242200 is an apocalyptic number.

1340242200 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 1340242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681078400).

1340242200 is an abundant number, since it is smaller than the sum of its proper divisors (4021914600).

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

1340242200 is a wasteful number, since it uses less digits than its factorization.

1340242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1340242200 is about 36609.3184858719. The cubic root of 1340242200 is about 1102.5401901217.

Adding to 1340242200 its reverse (22420431), we get a palindrome (1362662631).

The spelling of 1340242200 in words is "one billion, three hundred forty million, two hundred forty-two thousand, two hundred".