1340078400 has 252 divisors, whose sum is σ = 4928730300. Its totient is φ = 344924160.

The previous prime is 1340078393. The next prime is 1340078401. The reversal of 1340078400 is 48700431.

It can be written as a sum of positive squares in 6 ways, for example, as 12787776 + 1327290624 = 3576^2 + 36432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340078401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 415996 + ... + 419204.

Almost surely, 2^1340078400 is an apocalyptic number.

1340078400 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 1340078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464365150).

1340078400 is an abundant number, since it is smaller than the sum of its proper divisors (3588651900).

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

1340078400 is a wasteful number, since it uses less digits than its factorization.

1340078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1340078400 is about 36607.0812821782. The cubic root of 1340078400 is about 1102.4952720114.

Adding to 1340078400 its reverse (48700431), we get a palindrome (1388778831).

The spelling of 1340078400 in words is "one billion, three hundred forty million, seventy-eight thousand, four hundred".