41894206560 has 384 divisors, whose sum is σ = 155377958400. Its totient is φ = 10513152000.

The previous prime is 41894206553. The next prime is 41894206609. The reversal of 41894206560 is 6560249814.

41894206560 is a `hidden beast` number, since 4 + 1 + 89 + 4 + 2 + 0 + 6 + 560 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12884935 + ... + 12888185.

It is an arithmetic number, because the mean of its divisors is an integer number (404630100).

Almost surely, 2^41894206560 is an apocalyptic number.

41894206560 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 41894206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77688979200).

41894206560 is an abundant number, since it is smaller than the sum of its proper divisors (113483751840).

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

41894206560 is a wasteful number, since it uses less digits than its factorization.

41894206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 41894206560 in words is "forty-one billion, eight hundred ninety-four million, two hundred six thousand, five hundred sixty".