41945549951760 has 1280 divisors, whose sum is σ = 178216817393664. Its totient is φ = 7904369442816.

The previous prime is 41945549951731. The next prime is 41945549951797. The reversal of 41945549951760 is 6715994554914.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1084489542 + ... + 1084528218.

Almost surely, 2^{41945549951760} is an apocalyptic number.

41945549951760 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 41945549951760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89108408696832).

41945549951760 is an abundant number, since it is smaller than the sum of its proper divisors (136271267441904).

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

41945549951760 is a wasteful number, since it uses less digits than its factorization.

41945549951760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38880 (or 38874 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 69.

The spelling of 41945549951760 in words is "forty-one trillion, nine hundred forty-five billion, five hundred forty-nine million, nine hundred fifty-one thousand, seven hundred sixty".