41779753752 has 256 divisors, whose sum is σ = 124766208000. Its totient is φ = 11517811200.

The previous prime is 41779753747. The next prime is 41779753781. The reversal of 41779753752 is 25735797714.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 41779753692 and 41779753701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21612978 + ... + 21614910.

It is an arithmetic number, because the mean of its divisors is an integer number (487368000).

Almost surely, 2^41779753752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41779753752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62383104000).

41779753752 is an abundant number, since it is smaller than the sum of its proper divisors (82986454248).

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

41779753752 is a wasteful number, since it uses less digits than its factorization.

41779753752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2138 counting only the distinct ones).

The product of its digits is 12965400, while the sum is 57.

The spelling of 41779753752 in words is "forty-one billion, seven hundred seventy-nine million, seven hundred fifty-three thousand, seven hundred fifty-two".