41334374520 has 320 divisors, whose sum is σ = 144207993600. Its totient is φ = 10607708160.

The previous prime is 41334374507. The next prime is 41334374561. The reversal of 41334374520 is 2547343314.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19785636 + ... + 19787724.

It is an arithmetic number, because the mean of its divisors is an integer number (450649980).

Almost surely, 2^41334374520 is an apocalyptic number.

41334374520 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 41334374520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72103996800).

41334374520 is an abundant number, since it is smaller than the sum of its proper divisors (102873619080).

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

41334374520 is a wasteful number, since it uses less digits than its factorization.

41334374520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 41334374520 in words is "forty-one billion, three hundred thirty-four million, three hundred seventy-four thousand, five hundred twenty".