41977863224 has 256 divisors, whose sum is σ = 97716326400. Its totient is φ = 16671283200.

The previous prime is 41977863223. The next prime is 41977863229. The reversal of 41977863224 is 42236877914.

It is a happy number.

It is a Cunningham number, because it is equal to 204885²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41977863223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301998947 + ... + 301999085.

It is an arithmetic number, because the mean of its divisors is an integer number (381704400).

Almost surely, 2^41977863224 is an apocalyptic number.

41977863224 is a gapful number since it is divisible by the number (44) 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 41977863224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48858163200).

41977863224 is an abundant number, since it is smaller than the sum of its proper divisors (55738463176).

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

41977863224 is a wasteful number, since it uses less digits than its factorization.

With its successor (41977863225) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (394).

41977863224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 53.

The spelling of 41977863224 in words is "forty-one billion, nine hundred seventy-seven million, eight hundred sixty-three thousand, two hundred twenty-four".