41338756264680 has 512 divisors, whose sum is σ = 161203796582400. Its totient is φ = 9225654423552.

The previous prime is 41338756264661. The next prime is 41338756264681. The reversal of 41338756264680 is 8646265783314.

It is a happy number.

41338756264680 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 8 + 7 + 562 + 6 + 4 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (41338756264681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 920929197 + ... + 920974083.

It is an arithmetic number, because the mean of its divisors is an integer number (314851165200).

Almost surely, 2^{41338756264680} is an apocalyptic number.

41338756264680 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 41338756264680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80601898291200).

41338756264680 is an abundant number, since it is smaller than the sum of its proper divisors (119865040317720).

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

41338756264680 is a wasteful number, since it uses less digits than its factorization.

41338756264680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47790 (or 47780 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 41338756264680 in words is "forty-one trillion, three hundred thirty-eight billion, seven hundred fifty-six million, two hundred sixty-four thousand, six hundred eighty".