418823428080 has 320 divisors, whose sum is σ = 1448418723840. Its totient is φ = 99491954688.

The previous prime is 418823428031. The next prime is 418823428087. The reversal of 418823428080 is 80824328814.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418823428087) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 122712454 + ... + 122715866.

It is an arithmetic number, because the mean of its divisors is an integer number (4526308512).

Almost surely, 2^418823428080 is an apocalyptic number.

418823428080 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 418823428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724209361920).

418823428080 is an abundant number, since it is smaller than the sum of its proper divisors (1029595295760).

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

418823428080 is a wasteful number, since it uses less digits than its factorization.

418823428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 418823428080 in words is "four hundred eighteen billion, eight hundred twenty-three million, four hundred twenty-eight thousand, eighty".