1340420400 has 300 divisors, whose sum is σ = 5249389464. Its totient is φ = 324864000.

The previous prime is 1340420387. The next prime is 1340420429. The reversal of 1340420400 is 40240431.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 354520 + ... + 358280.

Almost surely, 2^1340420400 is an apocalyptic number.

1340420400 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 1340420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624694732).

1340420400 is an abundant number, since it is smaller than the sum of its proper divisors (3908969064).

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

1340420400 is a wasteful number, since it uses less digits than its factorization.

1340420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1340420400 is about 36611.7522115509. The cubic root of 1340420400 is about 1102.5890529205.

Adding to 1340420400 its reverse (40240431), we get a palindrome (1380660831).

The spelling of 1340420400 in words is "one billion, three hundred forty million, four hundred twenty thousand, four hundred".