41665190400 has 480 divisors, whose sum is σ = 157905369600. Its totient is φ = 10749542400.

The previous prime is 41665190389. The next prime is 41665190467. The reversal of 41665190400 is 409156614.

41665190400 is a `hidden beast` number, since 4 + 1 + 6 + 65 + 190 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10711656 + ... + 10715544.

It is an arithmetic number, because the mean of its divisors is an integer number (328969520).

Almost surely, 2^41665190400 is an apocalyptic number.

41665190400 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 41665190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78952684800).

41665190400 is an abundant number, since it is smaller than the sum of its proper divisors (116240179200).

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

41665190400 is a wasteful number, since it uses less digits than its factorization.

41665190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 41665190400 in words is "forty-one billion, six hundred sixty-five million, one hundred ninety thousand, four hundred".