41414322003040 has 144 divisors (see below), whose sum is σ = 113907467277072. Its totient is φ = 14187714057216.

The previous prime is 41414322003029. The next prime is 41414322003073. The reversal of 41414322003040 is 4030022341414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7562899 + ... + 11833261.

It is an arithmetic number, because the mean of its divisors is an integer number (791024078313).

Almost surely, 2^{41414322003040} is an apocalyptic number.

41414322003040 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 41414322003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56953733638536).

41414322003040 is an abundant number, since it is smaller than the sum of its proper divisors (72493145274032).

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

41414322003040 is a wasteful number, since it uses less digits than its factorization.

41414322003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271629 (or 4271614 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 41414322003040 its reverse (4030022341414), we get a palindrome (45444344344454).

The spelling of 41414322003040 in words is "forty-one trillion, four hundred fourteen billion, three hundred twenty-two million, three thousand, forty".