41270071752 has 384 divisors, whose sum is σ = 142578374400. Its totient is φ = 10830163968.

The previous prime is 41270071723. The next prime is 41270071757. The reversal of 41270071752 is 25717007214.

41270071752 is a `hidden beast` number, since 412 + 70 + 0 + 7 + 175 + 2 = 666.

41270071752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (41270071757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95311728 + ... + 95312160.

It is an arithmetic number, because the mean of its divisors is an integer number (371297850).

Almost surely, 2^41270071752 is an apocalyptic number.

41270071752 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 41270071752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71289187200).

41270071752 is an abundant number, since it is smaller than the sum of its proper divisors (101308302648).

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

41270071752 is a wasteful number, since it uses less digits than its factorization.

41270071752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

Adding to 41270071752 its reverse (25717007214), we get a palindrome (66987078966).

The spelling of 41270071752 in words is "forty-one billion, two hundred seventy million, seventy-one thousand, seven hundred fifty-two".