41628300560 has 320 divisors, whose sum is σ = 125563392000. Its totient is φ = 12454041600.

The previous prime is 41628300557. The next prime is 41628300601. The reversal of 41628300560 is 6500382614.

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 41628300560.

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 63 ways as a sum of consecutive naturals, for example, 35548775 + ... + 35549945.

It is an arithmetic number, because the mean of its divisors is an integer number (392385600).

Almost surely, 2^41628300560 is an apocalyptic number.

41628300560 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 41628300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62781696000).

41628300560 is an abundant number, since it is smaller than the sum of its proper divisors (83935091440).

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

41628300560 is a wasteful number, since it uses less digits than its factorization.

41628300560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1424 counting only the distinct ones).

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

The spelling of 41628300560 in words is "forty-one billion, six hundred twenty-eight million, three hundred thousand, five hundred sixty".