414504124020 has 72 divisors (see below), whose sum is σ = 1436947634304. Its totient is φ = 94743799488.

The previous prime is 414504124009. The next prime is 414504124043. The reversal of 414504124020 is 20421405414.

414504124020 is a `hidden beast` number, since 4 + 14 + 504 + 124 + 0 + 20 = 666.

414504124020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×414504124020⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164484504 + ... + 164487023.

It is an arithmetic number, because the mean of its divisors is an integer number (19957606032).

Almost surely, 2^414504124020 is an apocalyptic number.

It is an amenable number.

414504124020 is an abundant number, since it is smaller than the sum of its proper divisors (1022443510284).

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

414504124020 is a wasteful number, since it uses less digits than its factorization.

414504124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328971549 (or 328971544 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 414504124020 its reverse (20421405414), we get a palindrome (434925529434).

The spelling of 414504124020 in words is "four hundred fourteen billion, five hundred four million, one hundred twenty-four thousand, twenty".