41024004000 has 192 divisors, whose sum is σ = 153594185472. Its totient is φ = 9376896000.

The previous prime is 41024003971. The next prime is 41024004001. The reversal of 41024004000 is 40042014.

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

It is not an unprimeable number, because it can be changed into a prime (41024004001) by changing a digit.

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, 160191 + ... + 328190.

It is an arithmetic number, because the mean of its divisors is an integer number (799969716).

Almost surely, 2^41024004000 is an apocalyptic number.

41024004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41024004000 is an abundant number, since it is smaller than the sum of its proper divisors (112570181472).

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

41024004000 is a wasteful number, since it uses less digits than its factorization.

41024004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488416 (or 488398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 41024004000 its reverse (40042014), we get a palindrome (41064046014).

The spelling of 41024004000 in words is "forty-one billion, twenty-four million, four thousand".