41010003034000 has 640 divisors, whose sum is σ = 134459728026624. Its totient is φ = 11682201600000.

The previous prime is 41010003033997. The next prime is 41010003034009. The reversal of 41010003034000 is 43030001014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41010003034009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202100592 + ... + 202303408.

Almost surely, 2^{41010003034000} is an apocalyptic number.

41010003034000 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 41010003034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67229864013312).

41010003034000 is an abundant number, since it is smaller than the sum of its proper divisors (93449724992624).

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

41010003034000 is a wasteful number, since it uses less digits than its factorization.

41010003034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202972 (or 202956 counting only the distinct ones).

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

Adding to 41010003034000 its reverse (43030001014), we get a palindrome (41053033035014).

The spelling of 41010003034000 in words is "forty-one trillion, ten billion, three million, thirty-four thousand".