1340790000 has 400 divisors, whose sum is σ = 5020392960. Its totient is φ = 304640000.

The previous prime is 1340789999. The next prime is 1340790001. The reversal of 1340790000 is 970431.

It is an interprime number because it is at equal distance from previous prime (1340789999) and next prime (1340790001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340790001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5609881 + ... + 5610119.

Almost surely, 2^1340790000 is an apocalyptic number.

1340790000 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 1340790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510196480).

1340790000 is an abundant number, since it is smaller than the sum of its proper divisors (3679602960).

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

1340790000 is a wasteful number, since it uses less digits than its factorization.

1340790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1340790000 is about 36616.7994232156. The cubic root of 1340790000 is about 1102.6903841805.

The spelling of 1340790000 in words is "one billion, three hundred forty million, seven hundred ninety thousand".