414051401020020 has 48 divisors (see below), whose sum is σ = 1159345771459008. Its totient is φ = 110413530881280.

The previous prime is 414051401019959. The next prime is 414051401020027. The reversal of 414051401020020 is 20020104150414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414051401020027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34891455 + ... + 45227385.

It is an arithmetic number, because the mean of its divisors is an integer number (24153036905396).

Almost surely, 2^{414051401020020} is an apocalyptic number.

It is an amenable number.

414051401020020 is an abundant number, since it is smaller than the sum of its proper divisors (745294370438988).

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

414051401020020 is a wasteful number, since it uses less digits than its factorization.

414051401020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11003600 (or 11003598 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 414051401020020 its reverse (20020104150414), we get a palindrome (434071505170434).

The spelling of 414051401020020 in words is "four hundred fourteen trillion, fifty-one billion, four hundred one million, twenty thousand, twenty".