438067968000 has 1536 divisors, whose sum is σ = 1738612512000. Its totient is φ = 96888422400.

The previous prime is 438067967969. The next prime is 438067968031. The reversal of 438067968000 is 869760834.

It is an interprime number because it is at equal distance from previous prime (438067967969) and next prime (438067968031).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4922111956 + ... + 4922112044.

Almost surely, 2^438067968000 is an apocalyptic number.

438067968000 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 438067968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869306256000).

438067968000 is an abundant number, since it is smaller than the sum of its proper divisors (1300544544000).

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

438067968000 is a wasteful number, since it uses less digits than its factorization.

438067968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 438067968000 in words is "four hundred thirty-eight billion, sixty-seven million, nine hundred sixty-eight thousand".