41533504000 has 80 divisors (see below), whose sum is σ = 103566547656. Its totient is φ = 16613376000.

The previous prime is 41533503971. The next prime is 41533504021. The reversal of 41533504000 is 40533514.

It can be written as a sum of positive squares in 4 ways, for example, as 15723153664 + 25810350336 = 125392^2 + 160656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 260481 + ... + 388480.

Almost surely, 2^41533504000 is an apocalyptic number.

41533504000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41533504000 is an abundant number, since it is smaller than the sum of its proper divisors (62033043656).

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

41533504000 is an frugal number, since it uses more digits than its factorization.

41533504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648994 (or 648968 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 41533504000 in words is "forty-one billion, five hundred thirty-three million, five hundred four thousand".