41763918144 has 336 divisors, whose sum is σ = 126264448512. Its totient is φ = 12153563136.

The previous prime is 41763918143. The next prime is 41763918151. The reversal of 41763918144 is 44181936714.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 41763918093 and 41763918102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41763918143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79854267 + ... + 79854789.

Almost surely, 2^41763918144 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 41763918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63132224256).

41763918144 is an abundant number, since it is smaller than the sum of its proper divisors (84500530368).

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

41763918144 is a wasteful number, since it uses less digits than its factorization.

41763918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 671 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 41763918144 in words is "forty-one billion, seven hundred sixty-three million, nine hundred eighteen thousand, one hundred forty-four".