418982409216 has 440 divisors, whose sum is σ = 1437694237760. Its totient is φ = 119057154048.

The previous prime is 418982409199. The next prime is 418982409221. The reversal of 418982409216 is 612904289814.

It is a happy number.

418982409216 is a `hidden beast` number, since 4 + 18 + 9 + 8 + 2 + 409 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112055475 + ... + 112059213.

It is an arithmetic number, because the mean of its divisors is an integer number (3267486904).

Almost surely, 2^418982409216 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 418982409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718847118880).

418982409216 is an abundant number, since it is smaller than the sum of its proper divisors (1018711828544).

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

418982409216 is a wasteful number, since it uses less digits than its factorization.

418982409216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 418982409216 in words is "four hundred eighteen billion, nine hundred eighty-two million, four hundred nine thousand, two hundred sixteen".