1340231200 has 144 divisors (see below), whose sum is σ = 4079363904. Its totient is φ = 417715200.

The previous prime is 1340231161. The next prime is 1340231213. The reversal of 1340231200 is 21320431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50722 + ... + 72478.

It is an arithmetic number, because the mean of its divisors is an integer number (28328916).

Almost surely, 2^1340231200 is an apocalyptic number.

1340231200 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 1340231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039681952).

1340231200 is an abundant number, since it is smaller than the sum of its proper divisors (2739132704).

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

1340231200 is a wasteful number, since it uses less digits than its factorization.

1340231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21795 (or 21782 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1340231200 is about 36609.1682505899. The cubic root of 1340231200 is about 1102.5371737577.

Adding to 1340231200 its reverse (21320431), we get a palindrome (1361551631).

It can be divided in two parts, 1340231 and 200, that added together give a palindrome (1340431).

The spelling of 1340231200 in words is "one billion, three hundred forty million, two hundred thirty-one thousand, two hundred".