1340424000 has 168 divisors, whose sum is σ = 4795177608. Its totient is φ = 357427200.

The previous prime is 1340423999. The next prime is 1340424011. The reversal of 1340424000 is 4240431.

It can be written as a sum of positive squares in 4 ways, for example, as 13133376 + 1327290624 = 3624^2 + 36432^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62692 + ... + 81308.

Almost surely, 2^1340424000 is an apocalyptic number.

1340424000 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 1340424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397588804).

1340424000 is an abundant number, since it is smaller than the sum of its proper divisors (3454753608).

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

1340424000 is a wasteful number, since it uses less digits than its factorization.

1340424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18650 (or 18627 counting only the distinct ones).

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

The square root of 1340424000 is about 36611.8013760591. The cubic root of 1340424000 is about 1102.5900400031.

Adding to 1340424000 its reverse (4240431), we get a palindrome (1344664431).

The spelling of 1340424000 in words is "one billion, three hundred forty million, four hundred twenty-four thousand".