438045395808 has 192 divisors, whose sum is σ = 1282445498880. Its totient is φ = 130105958400.

The previous prime is 438045395783. The next prime is 438045395813. The reversal of 438045395808 is 808593540834.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57702093 + ... + 57709683.

It is an arithmetic number, because the mean of its divisors is an integer number (6679403640).

Almost surely, 2^438045395808 is an apocalyptic number.

438045395808 is a gapful number since it is divisible by the number (48) 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 438045395808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641222749440).

438045395808 is an abundant number, since it is smaller than the sum of its proper divisors (844400103072).

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

438045395808 is a wasteful number, since it uses less digits than its factorization.

438045395808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9501 (or 9493 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 438045395808 in words is "four hundred thirty-eight billion, forty-five million, three hundred ninety-five thousand, eight hundred eight".