438694860000 has 240 divisors, whose sum is σ = 1523657885904. Its totient is φ = 110103552000.

The previous prime is 438694859971. The next prime is 438694860001. The reversal of 438694860000 is 68496834.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438694860001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 804954 + ... + 1235046.

Almost surely, 2^438694860000 is an apocalyptic number.

438694860000 is a gapful number since it is divisible by the number (40) 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 438694860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761828942952).

438694860000 is an abundant number, since it is smaller than the sum of its proper divisors (1084963025904).

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

438694860000 is a wasteful number, since it uses less digits than its factorization.

438694860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430143 (or 430120 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 438694860000 in words is "four hundred thirty-eight billion, six hundred ninety-four million, eight hundred sixty thousand".