41821778880000 has 1200 divisors, whose sum is σ = 182515235554080. Its totient is φ = 8996880384000.

The previous prime is 41821778879977. The next prime is 41821778880041. The reversal of 41821778880000 is 8887712814.

It is a happy number.

41821778880000 is a `hidden beast` number, since 418 + 2 + 1 + 77 + 88 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×41821778880000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 342658986 + ... + 342781014.

Almost surely, 2^{41821778880000} is an apocalyptic number.

41821778880000 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 41821778880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91257617777040).

41821778880000 is an abundant number, since it is smaller than the sum of its proper divisors (140693456674080).

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

41821778880000 is a wasteful number, since it uses less digits than its factorization.

41821778880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122097 (or 122063 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 41821778880000 in words is "forty-one trillion, eight hundred twenty-one billion, seven hundred seventy-eight million, eight hundred eighty thousand".