41442634506000 has 1280 divisors, whose sum is σ = 169532029255680. Its totient is φ = 8477507174400.

The previous prime is 41442634505981. The next prime is 41442634506011. The reversal of 41442634506000 is 60543624414.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 41442634506000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2351613189 + ... + 2351630811.

It is an arithmetic number, because the mean of its divisors is an integer number (132446897856).

Almost surely, 2^{41442634506000} is an apocalyptic number.

41442634506000 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 41442634506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84766014627840).

41442634506000 is an abundant number, since it is smaller than the sum of its proper divisors (128089394749680).

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

41442634506000 is a wasteful number, since it uses less digits than its factorization.

41442634506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17801 (or 17785 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 41442634506000 in words is "forty-one trillion, four hundred forty-two billion, six hundred thirty-four million, five hundred six thousand".