41249600 has 168 divisors, whose sum is σ = 120944640. Its totient is φ = 13547520.

The previous prime is 41249569. The next prime is 41249609. The reversal of 41249600 is 694214.

It is a self number, because there is not a number n which added to its sum of digits gives 41249600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41249609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324737 + ... + 324863.

Almost surely, 2^41249600 is an apocalyptic number.

41249600 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 41249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60472320).

41249600 is an abundant number, since it is smaller than the sum of its proper divisors (79695040).

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

41249600 is a wasteful number, since it uses less digits than its factorization.

41249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 41249600 is about 6422.5851492993. The cubic root of 41249600 is about 345.5200446609.

The spelling of 41249600 in words is "forty-one million, two hundred forty-nine thousand, six hundred".