1364665040000 has 80 divisors (see below), whose sum is σ = 3397248524670. Its totient is φ = 545865984000.

The previous prime is 1364665039999. The next prime is 1364665040009. The reversal of 1364665040000 is 405664631.

It can be written as a sum of positive squares in 5 ways, for example, as 214606121536 + 1150058918464 = 463256^2 + 1072408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1364665040009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8449157 + ... + 8609156.

Almost surely, 2^{1364665040000} is an apocalyptic number.

1364665040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364665040000 is an abundant number, since it is smaller than the sum of its proper divisors (2032583484670).

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

1364665040000 is an frugal number, since it uses more digits than its factorization.

1364665040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17058347 (or 17058320 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 1364665040000 in words is "one trillion, three hundred sixty-four billion, six hundred sixty-five million, forty thousand".