1820340640000 has 135 divisors (see below), whose sum is σ = 4541856322773. Its totient is φ = 727920384000.

The previous prime is 1820340639947. The next prime is 1820340640003. The reversal of 1820340640000 is 460430281.

The square root of 1820340640000 is 1349200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 259480209664 + 1560860430336 = 509392^2 + 1249344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1820340640003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 539678314 + ... + 539681686.

Almost surely, 2^{1820340640000} is an apocalyptic number.

1820340640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1820340640000 is the 1349200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820340640000

1820340640000 is an abundant number, since it is smaller than the sum of its proper divisors (2721515682773).

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

1820340640000 is an frugal number, since it uses more digits than its factorization.

1820340640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 1820340640000 in words is "one trillion, eight hundred twenty billion, three hundred forty million, six hundred forty thousand".