41130270720 has 1680 divisors, whose sum is σ = 195252856128. Its totient is φ = 8174960640.

The previous prime is 41130270659. The next prime is 41130270757. The reversal of 41130270720 is 2707203114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 119 ways as a sum of consecutive naturals, for example, 1788272629 + ... + 1788272651.

Almost surely, 2^41130270720 is an apocalyptic number.

41130270720 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 41130270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97626428064).

41130270720 is an abundant number, since it is smaller than the sum of its proper divisors (154122585408).

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

41130270720 is a wasteful number, since it uses less digits than its factorization.

41130270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 41130270720 its reverse (2707203114), we get a palindrome (43837473834).

The spelling of 41130270720 in words is "forty-one billion, one hundred thirty million, two hundred seventy thousand, seven hundred twenty".