1340252400 has 240 divisors, whose sum is σ = 4677379200. Its totient is φ = 326753280.

The previous prime is 1340252399. The next prime is 1340252447. The reversal of 1340252400 is 42520431.

1340252400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660187 + ... + 662213.

It is an arithmetic number, because the mean of its divisors is an integer number (19489080).

Almost surely, 2^1340252400 is an apocalyptic number.

1340252400 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 1340252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338689600).

1340252400 is an abundant number, since it is smaller than the sum of its proper divisors (3337126800).

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

1340252400 is a wasteful number, since it uses less digits than its factorization.

1340252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1340252400 is about 36609.4577944006. The cubic root of 1340252400 is about 1102.5429870991.

Adding to 1340252400 its reverse (42520431), we get a palindrome (1382772831).

The spelling of 1340252400 in words is "one billion, three hundred forty million, two hundred fifty-two thousand, four hundred".