438042000000 has 448 divisors, whose sum is σ = 1586876562720. Its totient is φ = 106176000000.

The previous prime is 438041999987. The next prime is 438042000013. The reversal of 438042000000 is 240834.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (438041999987) and next prime (438042000013).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 65996682 + ... + 66003318.

Almost surely, 2^438042000000 is an apocalyptic number.

438042000000 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 438042000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793438281360).

438042000000 is an abundant number, since it is smaller than the sum of its proper divisors (1148834562720).

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

438042000000 is an frugal number, since it uses more digits than its factorization.

438042000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 438042000000 its reverse (240834), we get a palindrome (438042240834).

The spelling of 438042000000 in words is "four hundred thirty-eight billion, forty-two million", and thus it is an aban number.