41596587648 has 576 divisors, whose sum is σ = 156871952640. Its totient is φ = 10450944000.

The previous prime is 41596587623. The next prime is 41596587661. The reversal of 41596587648 is 84678569514.

41596587648 is a `hidden beast` number, since 4 + 1 + 5 + 9 + 6 + 587 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×41596587648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19247688 + ... + 19249848.

It is an arithmetic number, because the mean of its divisors is an integer number (272347140).

Almost surely, 2^41596587648 is an apocalyptic number.

41596587648 is a gapful number since it is divisible by the number (48) 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 41596587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78435976320).

41596587648 is an abundant number, since it is smaller than the sum of its proper divisors (115275364992).

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

41596587648 is a wasteful number, since it uses less digits than its factorization.

41596587648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2215 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 41596587648 in words is "forty-one billion, five hundred ninety-six million, five hundred eighty-seven thousand, six hundred forty-eight".