41170913280 has 720 divisors, whose sum is σ = 171831720060. Its totient is φ = 9401204736.

The previous prime is 41170913263. The next prime is 41170913299. The reversal of 41170913280 is 8231907114.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33656103936 + 7514809344 = 183456^2 + 86688^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642054 + ... + 40643066.

Almost surely, 2^41170913280 is an apocalyptic number.

41170913280 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 41170913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85915860030).

41170913280 is an abundant number, since it is smaller than the sum of its proper divisors (130660806780).

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

41170913280 is a wasteful number, since it uses less digits than its factorization.

41170913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 41170913280 in words is "forty-one billion, one hundred seventy million, nine hundred thirteen thousand, two hundred eighty".