438666190072 has 64 divisors (see below), whose sum is σ = 921037392000. Its totient is φ = 194141754240.

The previous prime is 438666190007. The next prime is 438666190073. The reversal of 438666190072 is 270091666834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438666190073) 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 15 ways as a sum of consecutive naturals, for example, 1016679 + ... + 1382377.

It is an arithmetic number, because the mean of its divisors is an integer number (14391209250).

Almost surely, 2^438666190072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438666190072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460518696000).

438666190072 is an abundant number, since it is smaller than the sum of its proper divisors (482371201928).

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

438666190072 is a wasteful number, since it uses less digits than its factorization.

438666190072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366076 (or 366072 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 438666190072 in words is "four hundred thirty-eight billion, six hundred sixty-six million, one hundred ninety thousand, seventy-two".