414040304112 has 40 divisors (see below), whose sum is σ = 1069631122560. Its totient is φ = 138009950400.

The previous prime is 414040304101. The next prime is 414040304129. The reversal of 414040304112 is 211403040414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2415589 + ... + 2581307.

It is an arithmetic number, because the mean of its divisors is an integer number (26740778064).

Almost surely, 2^414040304112 is an apocalyptic number.

It is an amenable number.

414040304112 is an abundant number, since it is smaller than the sum of its proper divisors (655590818448).

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

414040304112 is a wasteful number, since it uses less digits than its factorization.

414040304112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217781 (or 217775 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414040304112 its reverse (211403040414), we get a palindrome (625443344526).

The spelling of 414040304112 in words is "four hundred fourteen billion, forty million, three hundred four thousand, one hundred twelve".