41241039840 has 2160 divisors, whose sum is σ = 209163167136. Its totient is φ = 7445053440.

The previous prime is 41241039839. The next prime is 41241039859. The reversal of 41241039840 is 4893014214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

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 = 41241039795 and 41241039804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2425943512 + ... + 2425943528.

Almost surely, 2^41241039840 is an apocalyptic number.

41241039840 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 41241039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104581583568).

41241039840 is an abundant number, since it is smaller than the sum of its proper divisors (167922127296).

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

41241039840 is a wasteful number, since it uses less digits than its factorization.

41241039840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41241039840 in words is "forty-one billion, two hundred forty-one million, thirty-nine thousand, eight hundred forty".