414041243004 has 72 divisors (see below), whose sum is σ = 1087501025520. Its totient is φ = 137742436224.

The previous prime is 414041242991. The next prime is 414041243041. The reversal of 414041243004 is 400342140414.

414041243004 is a `hidden beast` number, since 414 + 0 + 4 + 1 + 243 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76312 + ... + 913184.

It is an arithmetic number, because the mean of its divisors is an integer number (15104180910).

Almost surely, 2^414041243004 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 414041243004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543750512760).

414041243004 is an abundant number, since it is smaller than the sum of its proper divisors (673459782516).

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

414041243004 is a wasteful number, since it uses less digits than its factorization.

414041243004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837401 (or 837387 counting only the distinct ones).

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

Adding to 414041243004 its reverse (400342140414), we get a palindrome (814383383418).

The spelling of 414041243004 in words is "four hundred fourteen billion, forty-one million, two hundred forty-three thousand, four".