438340602672 has 320 divisors, whose sum is σ = 1473051909120. Its totient is φ = 122188953600.

The previous prime is 438340602649. The next prime is 438340602673. The reversal of 438340602672 is 276206043834.

438340602672 is a `hidden beast` number, since 4 + 3 + 8 + 34 + 0 + 602 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (438340602673) 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 63 ways as a sum of consecutive naturals, for example, 179572972 + ... + 179575412.

It is an arithmetic number, because the mean of its divisors is an integer number (4603287216).

Almost surely, 2^438340602672 is an apocalyptic number.

438340602672 is a gapful number since it is divisible by the number (42) 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 438340602672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736525954560).

438340602672 is an abundant number, since it is smaller than the sum of its proper divisors (1034711306448).

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

438340602672 is a wasteful number, since it uses less digits than its factorization.

438340602672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 438340602672 in words is "four hundred thirty-eight billion, three hundred forty million, six hundred two thousand, six hundred seventy-two".