1340695540800 has 2016 divisors, whose sum is σ = 6488014740480. Its totient is φ = 263811686400.

The previous prime is 1340695540777. The next prime is 1340695540813. The reversal of 1340695540800 is 80455960431.

1340695540800 is a `hidden beast` number, since 1 + 3 + 40 + 69 + 5 + 540 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 568813222 + ... + 568815578.

It is an arithmetic number, because the mean of its divisors is an integer number (3218261280).

Almost surely, 2^{1340695540800} is an apocalyptic number.

1340695540800 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 1340695540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244007370240).

1340695540800 is an abundant number, since it is smaller than the sum of its proper divisors (5147319199680).

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

1340695540800 is a wasteful number, since it uses less digits than its factorization.

1340695540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1340695540800 in words is "one trillion, three hundred forty billion, six hundred ninety-five million, five hundred forty thousand, eight hundred".