41361587064 has 256 divisors, whose sum is σ = 136899993600. Its totient is φ = 11321856000.

The previous prime is 41361587063. The next prime is 41361587131. The reversal of 41361587064 is 46078516314.

41361587064 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 1 + 587 + 0 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41361587063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4729704 + ... + 4738440.

It is an arithmetic number, because the mean of its divisors is an integer number (534765600).

Almost surely, 2^41361587064 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 41361587064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68449996800).

41361587064 is an abundant number, since it is smaller than the sum of its proper divisors (95538406536).

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

41361587064 is a wasteful number, since it uses less digits than its factorization.

41361587064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8891 (or 8881 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 41361587064 in words is "forty-one billion, three hundred sixty-one million, five hundred eighty-seven thousand, sixty-four".