41393064960 has 704 divisors, whose sum is σ = 163749519360. Its totient is φ = 9847111680.

The previous prime is 41393064953. The next prime is 41393064983. The reversal of 41393064960 is 6946039314.

41393064960 is a `hidden beast` number, since 413 + 93 + 0 + 64 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55710349 + ... + 55711091.

Almost surely, 2^41393064960 is an apocalyptic number.

41393064960 is a gapful number since it is divisible by the number (40) 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 41393064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81874759680).

41393064960 is an abundant number, since it is smaller than the sum of its proper divisors (122356454400).

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

41393064960 is a wasteful number, since it uses less digits than its factorization.

41393064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 41393064960 in words is "forty-one billion, three hundred ninety-three million, sixty-four thousand, nine hundred sixty".