414000561420 has 72 divisors (see below), whose sum is σ = 1296311452800. Its totient is φ = 106838853120.

The previous prime is 414000561413. The next prime is 414000561439. The reversal of 414000561420 is 24165000414.

414000561420 is a `hidden beast` number, since 4 + 1 + 40 + 0 + 0 + 5 + 614 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37091245 + ... + 37102404.

Almost surely, 2^414000561420 is an apocalyptic number.

It is an amenable number.

414000561420 is an abundant number, since it is smaller than the sum of its proper divisors (882310891380).

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

414000561420 is a wasteful number, since it uses less digits than its factorization.

414000561420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74193695 (or 74193690 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 414000561420 its reverse (24165000414), we get a palindrome (438165561834).

The spelling of 414000561420 in words is "four hundred fourteen billion, five hundred sixty-one thousand, four hundred twenty".