418241239441984 has 1008 divisors, whose sum is σ = 1082899794196080. Its totient is φ = 159532127354880.

The previous prime is 418241239441973. The next prime is 418241239442021. The reversal of 418241239441984 is 489144932142814.

It can be written as a sum of positive squares in 8 ways, for example, as 121977004262400 + 296264235179584 = 11044320^2 + 17212328^2 .

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 143 ways as a sum of consecutive naturals, for example, 194259747852 + ... + 194259750004.

It is an arithmetic number, because the mean of its divisors is an integer number (1074305351385).

Almost surely, 2^{418241239441984} 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 418241239441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541449897098040).

418241239441984 is an abundant number, since it is smaller than the sum of its proper divisors (664658554754096).

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

418241239441984 is a wasteful number, since it uses less digits than its factorization.

418241239441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2368 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 64.

The spelling of 418241239441984 in words is "four hundred eighteen trillion, two hundred forty-one billion, two hundred thirty-nine million, four hundred forty-one thousand, nine hundred eighty-four".