438044805120 has 768 divisors, whose sum is σ = 1580106528000. Its totient is φ = 102855868416.

The previous prime is 438044805067. The next prime is 438044805131. The reversal of 438044805120 is 21508440834.

438044805120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1262376787 + ... + 1262377133.

It is an arithmetic number, because the mean of its divisors is an integer number (2057430375).

Almost surely, 2^438044805120 is an apocalyptic number.

438044805120 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 438044805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790053264000).

438044805120 is an abundant number, since it is smaller than the sum of its proper divisors (1142061722880).

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

438044805120 is a wasteful number, since it uses less digits than its factorization.

438044805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 438044805120 in words is "four hundred thirty-eight billion, forty-four million, eight hundred five thousand, one hundred twenty".