41621150173120 has 1344 divisors, whose sum is σ = 127843962882048. Its totient is φ = 12594393907200.

The previous prime is 41621150173111. The next prime is 41621150173121. The reversal of 41621150173120 is 2137105112614.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41621150173121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215653627744 + ... + 215653627936.

It is an arithmetic number, because the mean of its divisors is an integer number (95121996192).

Almost surely, 2^{41621150173120} is an apocalyptic number.

41621150173120 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 41621150173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63921981441024).

41621150173120 is an abundant number, since it is smaller than the sum of its proper divisors (86222812708928).

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

41621150173120 is a wasteful number, since it uses less digits than its factorization.

41621150173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

Adding to 41621150173120 its reverse (2137105112614), we get a palindrome (43758255285734).

The spelling of 41621150173120 in words is "forty-one trillion, six hundred twenty-one billion, one hundred fifty million, one hundred seventy-three thousand, one hundred twenty".