438181636230 has 384 divisors, whose sum is σ = 1309288780800. Its totient is φ = 104757649920.

The previous prime is 438181636147. The next prime is 438181636259. The reversal of 438181636230 is 32636181834.

438181636230 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 8 + 1 + 636 + 2 + 3 + 0 = 666.

It is a super-2 number, since 2×438181636230² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 270314820 + ... + 270316440.

It is an arithmetic number, because the mean of its divisors is an integer number (3409606200).

Almost surely, 2^438181636230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438181636230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654644390400).

438181636230 is an abundant number, since it is smaller than the sum of its proper divisors (871107144570).

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

438181636230 is a wasteful number, since it uses less digits than its factorization.

438181636230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 438181636230 in words is "four hundred thirty-eight billion, one hundred eighty-one million, six hundred thirty-six thousand, two hundred thirty".