438130420200 has 768 divisors, whose sum is σ = 1750245120000. Its totient is φ = 99619891200.

The previous prime is 438130420193. The next prime is 438130420223. The reversal of 438130420200 is 2024031834.

438130420200 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 30 + 420 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 116243916 + ... + 116247684.

It is an arithmetic number, because the mean of its divisors is an integer number (2278965000).

Almost surely, 2^438130420200 is an apocalyptic number.

438130420200 is a gapful number since it is divisible by the number (40) 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 438130420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875122560000).

438130420200 is an abundant number, since it is smaller than the sum of its proper divisors (1312114699800).

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

438130420200 is a wasteful number, since it uses less digits than its factorization.

438130420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 438130420200 in words is "four hundred thirty-eight billion, one hundred thirty million, four hundred twenty thousand, two hundred".