41001004000 has 384 divisors, whose sum is σ = 113331778560. Its totient is φ = 14452992000.

The previous prime is 41001003973. The next prime is 41001004007. The reversal of 41001004000 is 40010014.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001004007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 376155946 + ... + 376156054.

It is an arithmetic number, because the mean of its divisors is an integer number (295134840).

Almost surely, 2^41001004000 is an apocalyptic number.

41001004000 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 41001004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56665889280).

41001004000 is an abundant number, since it is smaller than the sum of its proper divisors (72330774560).

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

41001004000 is a wasteful number, since it uses less digits than its factorization.

41001004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 41001004000 its reverse (40010014), we get a palindrome (41041014014).

The spelling of 41001004000 in words is "forty-one billion, one million, four thousand".