1340518400 has 312 divisors, whose sum is σ = 3839285520. Its totient is φ = 460062720.

The previous prime is 1340518367. The next prime is 1340518427. The reversal of 1340518400 is 48150431.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1340518400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25292774 + ... + 25292826.

Almost surely, 2^1340518400 is an apocalyptic number.

1340518400 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 1340518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919642760).

1340518400 is an abundant number, since it is smaller than the sum of its proper divisors (2498767120).

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

1340518400 is a wasteful number, since it uses less digits than its factorization.

1340518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1340518400 is about 36613.0905551553. The cubic root of 1340518400 is about 1102.6159228722.

Adding to 1340518400 its reverse (48150431), we get a palindrome (1388668831).

The spelling of 1340518400 in words is "one billion, three hundred forty million, five hundred eighteen thousand, four hundred".