438385824140 has 72 divisors (see below), whose sum is σ = 1071434661696. Its totient is φ = 150035776000.

The previous prime is 438385824137. The next prime is 438385824143. The reversal of 438385824140 is 41428583834.

It is an interprime number because it is at equal distance from previous prime (438385824137) and next prime (438385824143).

It is not an unprimeable number, because it can be changed into a prime (438385824143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5286836 + ... + 5369115.

It is an arithmetic number, because the mean of its divisors is an integer number (14881036968).

Almost surely, 2^438385824140 is an apocalyptic number.

It is an amenable number.

438385824140 is an abundant number, since it is smaller than the sum of its proper divisors (633048837556).

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

438385824140 is a wasteful number, since it uses less digits than its factorization.

438385824140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655999 (or 10655986 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 50.

The spelling of 438385824140 in words is "four hundred thirty-eight billion, three hundred eighty-five million, eight hundred twenty-four thousand, one hundred forty".