438491968000 has 80 divisors (see below), whose sum is σ = 1093407287544. Its totient is φ = 175396761600.

The previous prime is 438491967971. The next prime is 438491968051. The reversal of 438491968000 is 869194834.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86567762176 + 351924205824 = 294224^2 + 593232^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3361719 + ... + 3489718.

Almost surely, 2^438491968000 is an apocalyptic number.

438491968000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438491968000 is an abundant number, since it is smaller than the sum of its proper divisors (654915319544).

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

438491968000 is an frugal number, since it uses more digits than its factorization.

438491968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851470 (or 6851444 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 438491968000 in words is "four hundred thirty-eight billion, four hundred ninety-one million, nine hundred sixty-eight thousand".