42432000000 has 728 divisors, whose sum is σ = 161258248368. Its totient is φ = 9830400000.

The previous prime is 42431999893. The next prime is 42432000029. The reversal of 42432000000 is 23424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 2495999992 + ... + 2496000008.

Almost surely, 2^42432000000 is an apocalyptic number.

42432000000 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 42432000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80629124184).

42432000000 is an abundant number, since it is smaller than the sum of its proper divisors (118826248368).

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

42432000000 is an frugal number, since it uses more digits than its factorization.

42432000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 42432000000 its reverse (23424), we get a palindrome (42432023424).

The spelling of 42432000000 in words is "forty-two billion, four hundred thirty-two million", and thus it is an aban number.