41287793232840 has 768 divisors, whose sum is σ = 157920707185920. Its totient is φ = 8539200552960.

The previous prime is 41287793232799. The next prime is 41287793232869. The reversal of 41287793232840 is 4823239778214.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19539891624 + ... + 19539893736.

It is an arithmetic number, because the mean of its divisors is an integer number (205625920815).

Almost surely, 2^{41287793232840} is an apocalyptic number.

41287793232840 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 41287793232840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78960353592960).

41287793232840 is an abundant number, since it is smaller than the sum of its proper divisors (116632913953080).

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

41287793232840 is a wasteful number, since it uses less digits than its factorization.

41287793232840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 41287793232840 in words is "forty-one trillion, two hundred eighty-seven billion, seven hundred ninety-three million, two hundred thirty-two thousand, eight hundred forty".