41895252864 has 384 divisors, whose sum is σ = 129276725760. Its totient is φ = 13499136000.

The previous prime is 41895252769. The next prime is 41895252869. The reversal of 41895252864 is 46825259814.

41895252864 is a `hidden beast` number, since 4 + 1 + 8 + 9 + 52 + 528 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 41895252864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41895252869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134711269 + ... + 134711579.

It is an arithmetic number, because the mean of its divisors is an integer number (336658140).

Almost surely, 2^41895252864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41895252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638362880).

41895252864 is an abundant number, since it is smaller than the sum of its proper divisors (87381472896).

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

41895252864 is an equidigital number, since it uses as much as digits as its factorization.

41895252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 448 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 41895252864 in words is "forty-one billion, eight hundred ninety-five million, two hundred fifty-two thousand, eight hundred sixty-four".