438165120280 has 128 divisors (see below), whose sum is σ = 1105161278400. Its totient is φ = 155370258432.

The previous prime is 438165120259. The next prime is 438165120347. The reversal of 438165120280 is 82021561834.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2137144 + ... + 2333176.

Almost surely, 2^438165120280 is an apocalyptic number.

438165120280 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 438165120280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552580639200).

438165120280 is an abundant number, since it is smaller than the sum of its proper divisors (666996158120).

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

438165120280 is a wasteful number, since it uses less digits than its factorization.

438165120280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196253 (or 196249 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 438165120280 in words is "four hundred thirty-eight billion, one hundred sixty-five million, one hundred twenty thousand, two hundred eighty".