414143414000 has 160 divisors (see below), whose sum is σ = 1029603744000. Its totient is φ = 161039155200.

The previous prime is 414143413997. The next prime is 414143414057. The reversal of 414143414000 is 414341414.

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 31 ways as a sum of consecutive naturals, for example, 13991216 + ... + 14020784.

It is an arithmetic number, because the mean of its divisors is an integer number (6435023400).

Almost surely, 2^414143414000 is an apocalyptic number.

414143414000 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 414143414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514801872000).

414143414000 is an abundant number, since it is smaller than the sum of its proper divisors (615460330000).

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

414143414000 is a wasteful number, since it uses less digits than its factorization.

414143414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29788 (or 29772 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 414143414000 its reverse (414341414), we get a palindrome (414557755414).

The spelling of 414143414000 in words is "four hundred fourteen billion, one hundred forty-three million, four hundred fourteen thousand".