41503010040 has 384 divisors, whose sum is σ = 144605260800. Its totient is φ = 10699153920.

The previous prime is 41503010011. The next prime is 41503010047. The reversal of 41503010040 is 4001030514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41503009995 and 41503010022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41503010047) 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 95 ways as a sum of consecutive naturals, for example, 45557185 + ... + 45558095.

It is an arithmetic number, because the mean of its divisors is an integer number (376576200).

Almost surely, 2^41503010040 is an apocalyptic number.

41503010040 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 41503010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72302630400).

41503010040 is an abundant number, since it is smaller than the sum of its proper divisors (103102250760).

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

41503010040 is a wasteful number, since it uses less digits than its factorization.

41503010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 41503010040 its reverse (4001030514), we get a palindrome (45504040554).

The spelling of 41503010040 in words is "forty-one billion, five hundred three million, ten thousand, forty".