414024403140 has 144 divisors (see below), whose sum is σ = 1322306294400. Its totient is φ = 104569242624.

The previous prime is 414024403103. The next prime is 414024403151. The reversal of 414024403140 is 41304420414.

414024403140 is a `hidden beast` number, since 41 + 40 + 2 + 440 + 3 + 140 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15989244 + ... + 16015116.

It is an arithmetic number, because the mean of its divisors is an integer number (9182682600).

Almost surely, 2^414024403140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414024403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661153147200).

414024403140 is an abundant number, since it is smaller than the sum of its proper divisors (908281891260).

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

414024403140 is a wasteful number, since it uses less digits than its factorization.

414024403140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30586 (or 30581 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414024403140 its reverse (41304420414), we get a palindrome (455328823554).

The spelling of 414024403140 in words is "four hundred fourteen billion, twenty-four million, four hundred three thousand, one hundred forty".