438126659712 has 96 divisors (see below), whose sum is σ = 1440862999680. Its totient is φ = 125179043328.

The previous prime is 438126659699. The next prime is 438126659749. The reversal of 438126659712 is 217956621834.

It is a happy number.

438126659712 is a `hidden beast` number, since 4 + 38 + 1 + 2 + 6 + 6 + 597 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27157528 + ... + 27173655.

It is an arithmetic number, because the mean of its divisors is an integer number (15008989580).

Almost surely, 2^438126659712 is an apocalyptic number.

438126659712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

438126659712 is an abundant number, since it is smaller than the sum of its proper divisors (1002736339968).

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

438126659712 is a wasteful number, since it uses less digits than its factorization.

438126659712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54331210 (or 54331195 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 438126659712 in words is "four hundred thirty-eight billion, one hundred twenty-six million, six hundred fifty-nine thousand, seven hundred twelve".