438725380423680 has 7200 divisors, whose sum is σ = 2103314254272000. Its totient is φ = 87164700327936.

The previous prime is 438725380423679. The next prime is 438725380423699. The reversal of 438725380423680 is 86324083527834.

438725380423680 is a `hidden beast` number, since 4 + 3 + 8 + 7 + 2 + 53 + 80 + 423 + 6 + 80 = 666.

It is a super-3 number, since 3×438725380423680³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 479 ways as a sum of consecutive naturals, for example, 15128461393906 + ... + 15128461393934.

It is an arithmetic number, because the mean of its divisors is an integer number (292126979760).

Almost surely, 2^{438725380423680} is an apocalyptic number.

438725380423680 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 438725380423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051657127136000).

438725380423680 is an abundant number, since it is smaller than the sum of its proper divisors (1664588873848320).

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

438725380423680 is an equidigital number, since it uses as much as digits as its factorization.

438725380423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 438725380423680 in words is "four hundred thirty-eight trillion, seven hundred twenty-five billion, three hundred eighty million, four hundred twenty-three thousand, six hundred eighty".