438096493212 has 192 divisors, whose sum is σ = 1224502272000. Its totient is φ = 119263592448.

The previous prime is 438096493193. The next prime is 438096493223. The reversal of 438096493212 is 212394690834.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131598364 + ... + 131601692.

It is an arithmetic number, because the mean of its divisors is an integer number (6377616000).

Almost surely, 2^438096493212 is an apocalyptic number.

438096493212 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 438096493212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612251136000).

438096493212 is an abundant number, since it is smaller than the sum of its proper divisors (786405778788).

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

438096493212 is a wasteful number, since it uses less digits than its factorization.

438096493212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 438096493212 in words is "four hundred thirty-eight billion, ninety-six million, four hundred ninety-three thousand, two hundred twelve".