438022434051072 has 1056 divisors, whose sum is σ = 1451846156866560. Its totient is φ = 126001836195840.

The previous prime is 438022434050921. The next prime is 438022434051077. The reversal of 438022434051072 is 270150434220834.

438022434051072 is a `hidden beast` number, since 4 + 3 + 8 + 0 + 2 + 24 + 3 + 40 + 510 + 72 = 666.

It is a super-2 number, since 2×438022434051072² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438022434051077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300220995879 + ... + 300220997337.

Almost surely, 2^{438022434051072} 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 438022434051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725923078433280).

438022434051072 is an abundant number, since it is smaller than the sum of its proper divisors (1013823722815488).

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

438022434051072 is a wasteful number, since it uses less digits than its factorization.

438022434051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 438022434051072 in words is "four hundred thirty-eight trillion, twenty-two billion, four hundred thirty-four million, fifty-one thousand, seventy-two".