41416661400 has 192 divisors, whose sum is σ = 136469836800. Its totient is φ = 10354575360.

The previous prime is 41416661333. The next prime is 41416661401. The reversal of 41416661400 is 416661414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41416661401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2674881 + ... + 2690319.

It is an arithmetic number, because the mean of its divisors is an integer number (710780400).

Almost surely, 2^41416661400 is an apocalyptic number.

41416661400 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 41416661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68234918400).

41416661400 is an abundant number, since it is smaller than the sum of its proper divisors (95053175400).

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

41416661400 is a wasteful number, since it uses less digits than its factorization.

41416661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15738 (or 15729 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 41416661400 in words is "forty-one billion, four hundred sixteen million, six hundred sixty-one thousand, four hundred".