41624016560 has 40 divisors (see below), whose sum is σ = 110600959776. Its totient is φ = 14271091200.

The previous prime is 41624016523. The next prime is 41624016563. The reversal of 41624016560 is 6561042614.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 41624016560.

It is not an unprimeable number, because it can be changed into a prime (41624016563) 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 7 ways as a sum of consecutive naturals, for example, 37163741 + ... + 37164860.

Almost surely, 2^41624016560 is an apocalyptic number.

41624016560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41624016560 is an abundant number, since it is smaller than the sum of its proper divisors (68976943216).

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

41624016560 is a wasteful number, since it uses less digits than its factorization.

41624016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74328621 (or 74328615 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 41624016560 in words is "forty-one billion, six hundred twenty-four million, sixteen thousand, five hundred sixty".