438022480896 has 2816 divisors, whose sum is σ = 1980840960000. Its totient is φ = 93640458240.

The previous prime is 438022480871. The next prime is 438022480897. The reversal of 438022480896 is 698084220834.

438022480896 is a `hidden beast` number, since 4 + 3 + 80 + 2 + 2 + 480 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (438022480897) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23053814775 + ... + 23053814793.

Almost surely, 2^438022480896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438022480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990420480000).

438022480896 is an abundant number, since it is smaller than the sum of its proper divisors (1542818479104).

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

438022480896 is a wasteful number, since it uses less digits than its factorization.

438022480896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 438022480896 in words is "four hundred thirty-eight billion, twenty-two million, four hundred eighty thousand, eight hundred ninety-six".