41210434010040 has 256 divisors, whose sum is σ = 129002425390080. Its totient is φ = 10522443509760.

The previous prime is 41210434010029. The next prime is 41210434010041. The reversal of 41210434010040 is 4001043401214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41210434010041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326198485 + ... + 326324795.

It is an arithmetic number, because the mean of its divisors is an integer number (503915724180).

Almost surely, 2^{41210434010040} is an apocalyptic number.

41210434010040 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 41210434010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64501212695040).

41210434010040 is an abundant number, since it is smaller than the sum of its proper divisors (87791991380040).

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

41210434010040 is a wasteful number, since it uses less digits than its factorization.

41210434010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127614 (or 127610 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41210434010040 its reverse (4001043401214), we get a palindrome (45211477411254).

The spelling of 41210434010040 in words is "forty-one trillion, two hundred ten billion, four hundred thirty-four million, ten thousand, forty".