41817047040 has 640 divisors, whose sum is σ = 157579693920. Its totient is φ = 10588520448.

The previous prime is 41817047033. The next prime is 41817047059. The reversal of 41817047040 is 4074071814.

41817047040 is a `hidden beast` number, since 4 + 1 + 81 + 70 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 41817046986 and 41817047004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 305233852 + ... + 305233988.

Almost surely, 2^41817047040 is an apocalyptic number.

41817047040 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 41817047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78789846960).

41817047040 is an abundant number, since it is smaller than the sum of its proper divisors (115762646880).

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

41817047040 is an equidigital number, since it uses as much as digits as its factorization.

41817047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 41817047040 in words is "forty-one billion, eight hundred seventeen million, forty-seven thousand, forty".