42414467121 has 24 divisors (see below), whose sum is σ = 65991894696. Its totient is φ = 26095737600.

The previous prime is 42414467111. The next prime is 42414467167. The reversal of 42414467121 is 12176441424.

42414467121 is a `hidden beast` number, since 424 + 144 + 6 + 71 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 935442225 + 41479024896 = 30585^2 + 203664^2 .

It is not a de Polignac number, because 42414467121 - 2⁷ = 42414466993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42414467111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562771 + ... + 633671.

It is an arithmetic number, because the mean of its divisors is an integer number (2749662279).

Almost surely, 2^42414467121 is an apocalyptic number.

It is an amenable number.

42414467121 is a deficient number, since it is larger than the sum of its proper divisors (23577427575).

42414467121 is a wasteful number, since it uses less digits than its factorization.

42414467121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76033 (or 76030 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 42414467121 in words is "forty-two billion, four hundred fourteen million, four hundred sixty-seven thousand, one hundred twenty-one".