1414820020000 has 60 divisors (see below), whose sum is σ = 3480669521406. Its totient is φ = 565928000000.

The previous prime is 1414820019917. The next prime is 1414820020043. The reversal of 1414820020000 is 200284141.

It can be written as a sum of positive squares in 5 ways, for example, as 173565558544 + 1241254461456 = 416612^2 + 1114116^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 35350501 + ... + 35390500.

Almost surely, 2^{1414820020000} is an apocalyptic number.

1414820020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414820020000 is an abundant number, since it is smaller than the sum of its proper divisors (2065849501406).

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

1414820020000 is an frugal number, since it uses more digits than its factorization.

1414820020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70741031 (or 70741008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 1414820020000 in words is "one trillion, four hundred fourteen billion, eight hundred twenty million, twenty thousand".