40242432000 has 384 divisors, whose sum is σ = 136247529600. Its totient is φ = 10543104000.

The previous prime is 40242431987. The next prime is 40242432017. The reversal of 40242432000 is 23424204.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46847571 + ... + 46848429.

It is an arithmetic number, because the mean of its divisors is an integer number (354811275).

Almost surely, 2^40242432000 is an apocalyptic number.

40242432000 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 40242432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68123764800).

40242432000 is an abundant number, since it is smaller than the sum of its proper divisors (96005097600).

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

40242432000 is an equidigital number, since it uses as much as digits as its factorization.

40242432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 40242432000 its reverse (23424204), we get a palindrome (40265856204).

The spelling of 40242432000 in words is "forty billion, two hundred forty-two million, four hundred thirty-two thousand".