41115114240 has 288 divisors, whose sum is σ = 136614582720. Its totient is φ = 10525605888.

The previous prime is 41115114223. The next prime is 41115114253. The reversal of 41115114240 is 4241151114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41115114240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21491524 + ... + 21493436.

It is an arithmetic number, because the mean of its divisors is an integer number (474356190).

Almost surely, 2^41115114240 is an apocalyptic number.

41115114240 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 41115114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68307291360).

41115114240 is an abundant number, since it is smaller than the sum of its proper divisors (95499468480).

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

41115114240 is a wasteful number, since it uses less digits than its factorization.

41115114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 41115114240 its reverse (4241151114), we get a palindrome (45356265354).

The spelling of 41115114240 in words is "forty-one billion, one hundred fifteen million, one hundred fourteen thousand, two hundred forty".