41666400 has 180 divisors, whose sum is σ = 152185572. Its totient is φ = 11093760.

The previous prime is 41666389. The next prime is 41666437. The reversal of 41666400 is 466614.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64479 + ... + 65121.

Almost surely, 2^41666400 is an apocalyptic number.

41666400 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 41666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76092786).

41666400 is an abundant number, since it is smaller than the sum of its proper divisors (110519172).

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

41666400 is a wasteful number, since it uses less digits than its factorization.

41666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41666400 is about 6454.9515877348. The cubic root of 41666400 is about 346.6798975884.

The spelling of 41666400 in words is "forty-one million, six hundred sixty-six thousand, four hundred".