414143341392 has 240 divisors, whose sum is σ = 1237082250240. Its totient is φ = 118382342400.

The previous prime is 414143341369. The next prime is 414143341427. The reversal of 414143341392 is 293143341414.

It is a self number, because there is not a number n which added to its sum of digits gives 414143341392.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 45550767 + ... + 45559857.

It is an arithmetic number, because the mean of its divisors is an integer number (5154509376).

Almost surely, 2^414143341392 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 414143341392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618541125120).

414143341392 is an abundant number, since it is smaller than the sum of its proper divisors (822938908848).

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

414143341392 is a wasteful number, since it uses less digits than its factorization.

414143341392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9390 (or 9365 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The spelling of 414143341392 in words is "four hundred fourteen billion, one hundred forty-three million, three hundred forty-one thousand, three hundred ninety-two".