438490868816 has 320 divisors, whose sum is σ = 1197523353600. Its totient is φ = 150015283200.

The previous prime is 438490868779. The next prime is 438490868867. The reversal of 438490868816 is 618868094834.

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, 29285780 + ... + 29300748.

It is an arithmetic number, because the mean of its divisors is an integer number (3742260480).

Almost surely, 2^438490868816 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 438490868816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598761676800).

438490868816 is an abundant number, since it is smaller than the sum of its proper divisors (759032484784).

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

438490868816 is a wasteful number, since it uses less digits than its factorization.

438490868816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15098 (or 15092 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 65.

The spelling of 438490868816 in words is "four hundred thirty-eight billion, four hundred ninety million, eight hundred sixty-eight thousand, eight hundred sixteen".