438156381672 has 128 divisors (see below), whose sum is σ = 1273055616000. Its totient is φ = 139367954880.

The previous prime is 438156381671. The next prime is 438156381679. The reversal of 438156381672 is 276183651834.

438156381672 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 563 + 8 + 1 + 6 + 72 = 666.

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 (438156381671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976347 + ... + 2186837.

It is an arithmetic number, because the mean of its divisors is an integer number (9945747000).

Almost surely, 2^438156381672 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 438156381672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636527808000).

438156381672 is an abundant number, since it is smaller than the sum of its proper divisors (834899234328).

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

438156381672 is a wasteful number, since it uses less digits than its factorization.

438156381672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210948 (or 210938 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 438156381672 in words is "four hundred thirty-eight billion, one hundred fifty-six million, three hundred eighty-one thousand, six hundred seventy-two".