41620577225634 has 288 divisors, whose sum is σ = 108299163248640. Its totient is φ = 11423978596800.

The previous prime is 41620577225603. The next prime is 41620577225693. The reversal of 41620577225634 is 43652277502614.

41620577225634 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 0 + 5 + 7 + 72 + 2 + 563 + 4 = 666.

41620577225634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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 143 ways as a sum of consecutive naturals, for example, 8420102167 + ... + 8420107109.

It is an arithmetic number, because the mean of its divisors is an integer number (376038761280).

Almost surely, 2^{41620577225634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41620577225634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54149581624320).

41620577225634 is an abundant number, since it is smaller than the sum of its proper divisors (66678586023006).

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

41620577225634 is a wasteful number, since it uses less digits than its factorization.

41620577225634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 41620577225634 in words is "forty-one trillion, six hundred twenty billion, five hundred seventy-seven million, two hundred twenty-five thousand, six hundred thirty-four".