41217713460 has 1728 divisors, whose sum is σ = 187389296640. Its totient is φ = 7390310400.

The previous prime is 41217713447. The next prime is 41217713461. The reversal of 41217713460 is 6431771214.

41217713460 is a `hidden beast` number, since 4 + 12 + 177 + 13 + 460 = 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 (41217713461) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1329603645 + ... + 1329603675.

It is an arithmetic number, because the mean of its divisors is an integer number (108442880).

Almost surely, 2^41217713460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41217713460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93694648320).

41217713460 is an abundant number, since it is smaller than the sum of its proper divisors (146171583180).

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

41217713460 is a wasteful number, since it uses less digits than its factorization.

41217713460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 41217713460 in words is "forty-one billion, two hundred seventeen million, seven hundred thirteen thousand, four hundred sixty".