41107746240 has 1008 divisors, whose sum is σ = 171316899936. Its totient is φ = 9342812160.

The previous prime is 41107746161. The next prime is 41107746241. The reversal of 41107746240 is 4264770114.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 41107746195 and 41107746204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41107746241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159952192 + ... + 159952448.

It is an arithmetic number, because the mean of its divisors is an integer number (169957242).

Almost surely, 2^41107746240 is an apocalyptic number.

41107746240 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 41107746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85658449968).

41107746240 is an abundant number, since it is smaller than the sum of its proper divisors (130209153696).

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

41107746240 is a wasteful number, since it uses less digits than its factorization.

41107746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 41107746240 in words is "forty-one billion, one hundred seven million, seven hundred forty-six thousand, two hundred forty".