414124443240 has 256 divisors, whose sum is σ = 1314067968000. Its totient is φ = 104285076480.

The previous prime is 414124443223. The next prime is 414124443253. The reversal of 414124443240 is 42344421414.

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 63 ways as a sum of consecutive naturals, for example, 20684835 + ... + 20704845.

It is an arithmetic number, because the mean of its divisors is an integer number (5133078000).

Almost surely, 2^414124443240 is an apocalyptic number.

414124443240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414124443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657033984000).

414124443240 is an abundant number, since it is smaller than the sum of its proper divisors (899943524760).

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

414124443240 is a wasteful number, since it uses less digits than its factorization.

414124443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 414124443240 its reverse (42344421414), we get a palindrome (456468864654).

The spelling of 414124443240 in words is "four hundred fourteen billion, one hundred twenty-four million, four hundred forty-three thousand, two hundred forty".