438123020240 has 40 divisors (see below), whose sum is σ = 1037855579688. Its totient is φ = 171942617600.

The previous prime is 438123020227. The next prime is 438123020261. The reversal of 438123020240 is 42020321834.

It can be written as a sum of positive squares in 4 ways, for example, as 2089952656 + 436033067584 = 45716^2 + 660328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51661211 + ... + 51669690.

Almost surely, 2^438123020240 is an apocalyptic number.

438123020240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438123020240 is an abundant number, since it is smaller than the sum of its proper divisors (599732559448).

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

438123020240 is a wasteful number, since it uses less digits than its factorization.

438123020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103330967 (or 103330961 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 438123020240 in words is "four hundred thirty-eight billion, one hundred twenty-three million, twenty thousand, two hundred forty".