41963765040 has 320 divisors, whose sum is σ = 150624645120. Its totient is φ = 10726318080.

The previous prime is 41963764987. The next prime is 41963765099. The reversal of 41963765040 is 4056736914.

41963765040 is a `hidden beast` number, since 4 + 1 + 9 + 637 + 6 + 5 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7161792 + ... + 7167648.

It is an arithmetic number, because the mean of its divisors is an integer number (470702016).

Almost surely, 2^41963765040 is an apocalyptic number.

41963765040 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 41963765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75312322560).

41963765040 is an abundant number, since it is smaller than the sum of its proper divisors (108660880080).

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

41963765040 is a wasteful number, since it uses less digits than its factorization.

41963765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 41963765040 in words is "forty-one billion, nine hundred sixty-three million, seven hundred sixty-five thousand, forty".