41020577280 has 960 divisors, whose sum is σ = 159577786368. Its totient is φ = 10072719360.

The previous prime is 41020577263. The next prime is 41020577293. The reversal of 41020577280 is 8277502014.

41020577280 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 0 + 577 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 672468450 + ... + 672468510.

Almost surely, 2^41020577280 is an apocalyptic number.

41020577280 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 41020577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79788893184).

41020577280 is an abundant number, since it is smaller than the sum of its proper divisors (118557209088).

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

41020577280 is an equidigital number, since it uses as much as digits as its factorization.

41020577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 41020577280 in words is "forty-one billion, twenty million, five hundred seventy-seven thousand, two hundred eighty".