1340676000 has 288 divisors, whose sum is σ = 4808014848. Its totient is φ = 353779200.

The previous prime is 1340675983. The next prime is 1340676017. The reversal of 1340676000 is 6760431.

1340676000 is a `hidden beast` number, since 13 + 40 + 6 + 7 + 600 + 0 = 666.

1340676000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1340675983) and next prime (1340676017).

It is a tau number, because it is divible by the number of its divisors (288).

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, 6011889 + ... + 6012111.

It is an arithmetic number, because the mean of its divisors is an integer number (16694496).

Almost surely, 2^1340676000 is an apocalyptic number.

1340676000 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 1340676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404007424).

1340676000 is an abundant number, since it is smaller than the sum of its proper divisors (3467338848).

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

1340676000 is a wasteful number, since it uses less digits than its factorization.

1340676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1340676000 is about 36615.2427275855. The cubic root of 1340676000 is about 1102.6591313951.

The spelling of 1340676000 in words is "one billion, three hundred forty million, six hundred seventy-six thousand".