41628282230790 has 128 divisors (see below), whose sum is σ = 113530567680000. Its totient is φ = 10849360123008.

The previous prime is 41628282230761. The next prime is 41628282230819. The reversal of 41628282230790 is 9703228282614.

41628282230790 is a `hidden beast` number, since 4 + 1 + 62 + 8 + 282 + 230 + 79 + 0 = 666.

41628282230790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41628282230761) and next prime (41628282230819).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6683811 + ... + 11310609.

It is an arithmetic number, because the mean of its divisors is an integer number (886957560000).

Almost surely, 2^{41628282230790} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41628282230790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56765283840000).

41628282230790 is an abundant number, since it is smaller than the sum of its proper divisors (71902285449210).

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

41628282230790 is a wasteful number, since it uses less digits than its factorization.

41628282230790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627571 (or 4627565 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 41628282230790 in words is "forty-one trillion, six hundred twenty-eight billion, two hundred eighty-two million, two hundred thirty thousand, seven hundred ninety".