1340635140 has 144 divisors (see below), whose sum is σ = 4402944000. Its totient is φ = 328230144.

The previous prime is 1340635139. The next prime is 1340635141. The reversal of 1340635140 is 415360431.

1340635140 is a `hidden beast` number, since 13 + 4 + 0 + 635 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1340635139) and next prime (1340635141).

It is not an unprimeable number, because it can be changed into a prime (1340635141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464221 + ... + 467099.

It is an arithmetic number, because the mean of its divisors is an integer number (30576000).

Almost surely, 2^1340635140 is an apocalyptic number.

1340635140 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 1340635140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472000).

1340635140 is an abundant number, since it is smaller than the sum of its proper divisors (3062308860).

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

1340635140 is a wasteful number, since it uses less digits than its factorization.

1340635140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1340635140 is about 36614.6847589871. The cubic root of 1340635140 is about 1102.6479293075.

Adding to 1340635140 its reverse (415360431), we get a palindrome (1755995571).

The spelling of 1340635140 in words is "one billion, three hundred forty million, six hundred thirty-five thousand, one hundred forty".