438721920000 has 2640 divisors, whose sum is σ = 2085634783232. Its totient is φ = 89579520000.

The previous prime is 438721919981. The next prime is 438721920019. The reversal of 438721920000 is 29127834.

438721920000 is a `hidden beast` number, since 438 + 7 + 2 + 19 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (438721919981) and next prime (438721920019).

It is a super-4 number, since 4×438721920000⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14152319985 + ... + 14152320015.

Almost surely, 2^438721920000 is an apocalyptic number.

438721920000 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 438721920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042817391616).

438721920000 is an abundant number, since it is smaller than the sum of its proper divisors (1646912863232).

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

438721920000 is an equidigital number, since it uses as much as digits as its factorization.

438721920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 438721920000 in words is "four hundred thirty-eight billion, seven hundred twenty-one million, nine hundred twenty thousand".