1340352000 has 480 divisors, whose sum is σ = 5228102880. Its totient is φ = 328089600.

The previous prime is 1340351993. The next prime is 1340352019. The reversal of 1340352000 is 2530431.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7487911 + ... + 7488089.

It is an arithmetic number, because the mean of its divisors is an integer number (10891881).

Almost surely, 2^1340352000 is an apocalyptic number.

1340352000 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 1340352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614051440).

1340352000 is an abundant number, since it is smaller than the sum of its proper divisors (3887750880).

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

1340352000 is a wasteful number, since it uses less digits than its factorization.

1340352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1340352000 is about 36610.8180733509. The cubic root of 1340352000 is about 1102.5702980150.

Adding to 1340352000 its reverse (2530431), we get a palindrome (1342882431).

The spelling of 1340352000 in words is "one billion, three hundred forty million, three hundred fifty-two thousand".