41481827730 has 224 divisors, whose sum is σ = 128480978304. Its totient is φ = 9441681408.

The previous prime is 41481827711. The next prime is 41481827753. The reversal of 41481827730 is 3772818414.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13113129 + ... + 13116291.

It is an arithmetic number, because the mean of its divisors is an integer number (573575796).

Almost surely, 2^41481827730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41481827730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64240489152).

41481827730 is an abundant number, since it is smaller than the sum of its proper divisors (86999150574).

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

41481827730 is a wasteful number, since it uses less digits than its factorization.

41481827730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 41481827730 in words is "forty-one billion, four hundred eighty-one million, eight hundred twenty-seven thousand, seven hundred thirty".