41820923289600 has 4032 divisors, whose sum is σ = 199204530094080. Its totient is φ = 8516822630400.

The previous prime is 41820923289571. The next prime is 41820923289647. The reversal of 41820923289600 is 698232902814.

41820923289600 is a `hidden beast` number, since 4 + 1 + 8 + 2 + 0 + 9 + 2 + 3 + 28 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 109193011009 + ... + 109193011391.

It is an arithmetic number, because the mean of its divisors is an integer number (49405885440).

Almost surely, 2^{41820923289600} is an apocalyptic number.

41820923289600 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 41820923289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99602265047040).

41820923289600 is an abundant number, since it is smaller than the sum of its proper divisors (157383606804480).

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

41820923289600 is a wasteful number, since it uses less digits than its factorization.

41820923289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 41820923289600 in words is "forty-one trillion, eight hundred twenty billion, nine hundred twenty-three million, two hundred eighty-nine thousand, six hundred".