41211430560 has 192 divisors, whose sum is σ = 144345196800. Its totient is φ = 10981702656.

The previous prime is 41211430541. The next prime is 41211430633. The reversal of 41211430560 is 6503411214.

It is a happy number.

41211430560 is a `hidden beast` number, since 41 + 21 + 1 + 43 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8114742 + ... + 8119818.

It is an arithmetic number, because the mean of its divisors is an integer number (751797900).

Almost surely, 2^41211430560 is an apocalyptic number.

41211430560 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 41211430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72172598400).

41211430560 is an abundant number, since it is smaller than the sum of its proper divisors (103133766240).

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

41211430560 is a wasteful number, since it uses less digits than its factorization.

41211430560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 41211430560 its reverse (6503411214), we get a palindrome (47714841774).

The spelling of 41211430560 in words is "forty-one billion, two hundred eleven million, four hundred thirty thousand, five hundred sixty".