414089841120 has 192 divisors, whose sum is σ = 1310244284160. Its totient is φ = 109928890368.

The previous prime is 414089841107. The next prime is 414089841157. The reversal of 414089841120 is 21148980414.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 125214507 + ... + 125217813.

It is an arithmetic number, because the mean of its divisors is an integer number (6824188980).

Almost surely, 2^414089841120 is an apocalyptic number.

414089841120 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 414089841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655122142080).

414089841120 is an abundant number, since it is smaller than the sum of its proper divisors (896154443040).

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

414089841120 is a wasteful number, since it uses less digits than its factorization.

414089841120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 414089841120 in words is "four hundred fourteen billion, eighty-nine million, eight hundred forty-one thousand, one hundred twenty".