438666190032 has 160 divisors (see below), whose sum is σ = 1310725608192. Its totient is φ = 123826470912.

The previous prime is 438666190007. The next prime is 438666190073. The reversal of 438666190032 is 230091666834.

It is a super-2 number, since 2×438666190032² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19315708 + ... + 19338404.

Almost surely, 2^438666190032 is an apocalyptic number.

438666190032 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 438666190032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655362804096).

438666190032 is an abundant number, since it is smaller than the sum of its proper divisors (872059418160).

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

438666190032 is a wasteful number, since it uses less digits than its factorization.

438666190032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23405 (or 23399 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 438666190032 in words is "four hundred thirty-eight billion, six hundred sixty-six million, one hundred ninety thousand, thirty-two".