41003602822368 has 768 divisors, whose sum is σ = 128800728806400. Its totient is φ = 12653555097600.

The previous prime is 41003602822327. The next prime is 41003602822393. The reversal of 41003602822368 is 86322820630014.

41003602822368 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 3 + 6 + 0 + 282 + 2 + 368 = 666.

It is a super-2 number, since 2×41003602822368² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46754392746 + ... + 46754393622.

It is an arithmetic number, because the mean of its divisors is an integer number (167709282300).

Almost surely, 2^{41003602822368} is an apocalyptic number.

41003602822368 is a gapful number since it is divisible by the number (48) 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 41003602822368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64400364403200).

41003602822368 is an abundant number, since it is smaller than the sum of its proper divisors (87797125984032).

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

41003602822368 is a wasteful number, since it uses less digits than its factorization.

41003602822368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 41003602822368 in words is "forty-one trillion, three billion, six hundred two million, eight hundred twenty-two thousand, three hundred sixty-eight".