41168400 has 360 divisors, whose sum is σ = 168828480. Its totient is φ = 8386560.

The previous prime is 41168377. The next prime is 41168411. The reversal of 41168400 is 486114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1419586 + ... + 1419614.

It is an arithmetic number, because the mean of its divisors is an integer number (468968).

Almost surely, 2^41168400 is an apocalyptic number.

41168400 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 41168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84414240).

41168400 is an abundant number, since it is smaller than the sum of its proper divisors (127660080).

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

41168400 is a wasteful number, since it uses less digits than its factorization.

41168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 41168400 is about 6416.2605932116. The cubic root of 41168400 is about 345.2931765427.

It can be divided in two parts, 4116 and 8400, that multiplied together give a square (34574400 = 5880²).

The spelling of 41168400 in words is "forty-one million, one hundred sixty-eight thousand, four hundred".