41253060072 has 256 divisors, whose sum is σ = 128583936000. Its totient is φ = 10767264768.

The previous prime is 41253059999. The next prime is 41253060119. The reversal of 41253060072 is 27006035214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9979318 + ... + 9983450.

It is an arithmetic number, because the mean of its divisors is an integer number (502281000).

Almost surely, 2^41253060072 is an apocalyptic number.

41253060072 is a gapful number since it is divisible by the number (42) 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 41253060072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64291968000).

41253060072 is an abundant number, since it is smaller than the sum of its proper divisors (87330875928).

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

41253060072 is a wasteful number, since it uses less digits than its factorization.

41253060072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 41253060072 its reverse (27006035214), we get a palindrome (68259095286).

The spelling of 41253060072 in words is "forty-one billion, two hundred fifty-three million, sixty thousand, seventy-two".