41327009280 has 240 divisors, whose sum is σ = 143485570800. Its totient is φ = 10992943104.

The previous prime is 41327009279. The next prime is 41327009287. The reversal of 41327009280 is 8290072314.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41327009280² (a number of 22 digits) contains 22 as substring.

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 (41327009287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10204696 + ... + 10208744.

It is an arithmetic number, because the mean of its divisors is an integer number (597856545).

Almost surely, 2^41327009280 is an apocalyptic number.

41327009280 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 41327009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71742785400).

41327009280 is an abundant number, since it is smaller than the sum of its proper divisors (102158561520).

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

41327009280 is a wasteful number, since it uses less digits than its factorization.

41327009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 41327009280 in words is "forty-one billion, three hundred twenty-seven million, nine thousand, two hundred eighty".