438199087872 has 432 divisors, whose sum is σ = 1537942882560. Its totient is φ = 109484089344.

The previous prime is 438199087841. The next prime is 438199087877. The reversal of 438199087872 is 278780991834.

It is a super-2 number, since 2×438199087872² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (438199087877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9271533 + ... + 9318675.

Almost surely, 2^438199087872 is an apocalyptic number.

438199087872 is a gapful number since it is divisible by the number (42) 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 438199087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768971441280).

438199087872 is an abundant number, since it is smaller than the sum of its proper divisors (1099743794688).

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

438199087872 is a wasteful number, since it uses less digits than its factorization.

438199087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47208 (or 47187 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 438199087872 in words is "four hundred thirty-eight billion, one hundred ninety-nine million, eighty-seven thousand, eight hundred seventy-two".