41342432000 has 144 divisors (see below), whose sum is σ = 105504444864. Its totient is φ = 16133120000.

The previous prime is 41342431979. The next prime is 41342432023. The reversal of 41342432000 is 23424314.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1296245 + ... + 1327755.

It is an arithmetic number, because the mean of its divisors is an integer number (732669756).

Almost surely, 2^41342432000 is an apocalyptic number.

41342432000 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 41342432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52752222432).

41342432000 is an abundant number, since it is smaller than the sum of its proper divisors (64162012864).

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

41342432000 is an equidigital number, since it uses as much as digits as its factorization.

41342432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31583 (or 31559 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 41342432000 its reverse (23424314), we get a palindrome (41365856314).

The spelling of 41342432000 in words is "forty-one billion, three hundred forty-two million, four hundred thirty-two thousand".