41034301000 has 256 divisors, whose sum is σ = 120076369920. Its totient is φ = 12751200000.

The previous prime is 41034300997. The next prime is 41034301003. The reversal of 41034301000 is 10343014.

It is an interprime number because it is at equal distance from previous prime (41034300997) and next prime (41034301003).

It is not an unprimeable number, because it can be changed into a prime (41034301003) 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, 35650425 + ... + 35651575.

It is an arithmetic number, because the mean of its divisors is an integer number (469048320).

Almost surely, 2^41034301000 is an apocalyptic number.

41034301000 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 41034301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60038184960).

41034301000 is an abundant number, since it is smaller than the sum of its proper divisors (79042068920).

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

41034301000 is a wasteful number, since it uses less digits than its factorization.

41034301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 41034301000 its reverse (10343014), we get a palindrome (41044644014).

The spelling of 41034301000 in words is "forty-one billion, thirty-four million, three hundred one thousand".