41380107310080 has 2112 divisors, whose sum is σ = 188894974786560. Its totient is φ = 8493598310400.

The previous prime is 41380107310057. The next prime is 41380107310133. The reversal of 41380107310080 is 8001370108314.

41380107310080 is a `hidden beast` number, since 413 + 80 + 10 + 73 + 10 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 191 ways as a sum of consecutive naturals, for example, 6184439535 + ... + 6184446225.

Almost surely, 2^{41380107310080} is an apocalyptic number.

41380107310080 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 41380107310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447487393280).

41380107310080 is an abundant number, since it is smaller than the sum of its proper divisors (147514867476480).

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

41380107310080 is a wasteful number, since it uses less digits than its factorization.

41380107310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 41380107310080 its reverse (8001370108314), we get a palindrome (49381477418394).

The spelling of 41380107310080 in words is "forty-one trillion, three hundred eighty billion, one hundred seven million, three hundred ten thousand, eighty".