414024010020 has 72 divisors (see below), whose sum is σ = 1257497926776. Its totient is φ = 110263537152.

The previous prime is 414024010009. The next prime is 414024010039. The reversal of 414024010020 is 20010420414.

414024010020 is a `hidden beast` number, since 414 + 0 + 240 + 10 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 286895844 + 413737114176 = 16938^2 + 643224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414024009975 and 414024010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1348657 + ... + 1626936.

It is an arithmetic number, because the mean of its divisors is an integer number (17465248983).

Almost surely, 2^414024010020 is an apocalyptic number.

It is an amenable number.

414024010020 is an abundant number, since it is smaller than the sum of its proper divisors (843473916756).

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

414024010020 is a wasteful number, since it uses less digits than its factorization.

414024010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976381 (or 2976376 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 414024010020 its reverse (20010420414), we get a palindrome (434034430434).

The spelling of 414024010020 in words is "four hundred fourteen billion, twenty-four million, ten thousand, twenty".