41272577280 has 648 divisors, whose sum is σ = 162532155240. Its totient is φ = 9650995200.

The previous prime is 41272577231. The next prime is 41272577293. The reversal of 41272577280 is 8277527214.

41272577280 is a `hidden beast` number, since 4 + 1 + 2 + 72 + 577 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5542504704 + 35730072576 = 74448^2 + 189024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40423170 + ... + 40424190.

Almost surely, 2^41272577280 is an apocalyptic number.

41272577280 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 41272577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81266077620).

41272577280 is an abundant number, since it is smaller than the sum of its proper divisors (121259577960).

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

41272577280 is a wasteful number, since it uses less digits than its factorization.

41272577280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 41272577280 in words is "forty-one billion, two hundred seventy-two million, five hundred seventy-seven thousand, two hundred eighty".