41368104960 has 832 divisors, whose sum is σ = 167332300800. Its totient is φ = 8670412800.

The previous prime is 41368104919. The next prime is 41368105033. The reversal of 41368104960 is 6940186314.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×41368104960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273960885 + ... + 273961035.

Almost surely, 2^41368104960 is an apocalyptic number.

41368104960 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 41368104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83666150400).

41368104960 is an abundant number, since it is smaller than the sum of its proper divisors (125964195840).

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

41368104960 is a wasteful number, since it uses less digits than its factorization.

41368104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 41368104960 in words is "forty-one billion, three hundred sixty-eight million, one hundred four thousand, nine hundred sixty".