41781960000 has 560 divisors, whose sum is σ = 167491135680. Its totient is φ = 10126080000.

The previous prime is 41781959953. The next prime is 41781960007. The reversal of 41781960000 is 6918714.

41781960000 is a `hidden beast` number, since 41 + 7 + 8 + 1 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41781960007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11878242 + ... + 11881758.

Almost surely, 2^41781960000 is an apocalyptic number.

41781960000 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 41781960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83745567840).

41781960000 is an abundant number, since it is smaller than the sum of its proper divisors (125709175680).

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

41781960000 is a wasteful number, since it uses less digits than its factorization.

41781960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 41781960000 in words is "forty-one billion, seven hundred eighty-one million, nine hundred sixty thousand".