41949600 has 288 divisors, whose sum is σ = 170989056. Its totient is φ = 8678400.

The previous prime is 41949547. The next prime is 41949613. The reversal of 41949600 is 694914.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184687 + ... + 184913.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 2^41949600 is an apocalyptic number.

41949600 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 41949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

41949600 is an abundant number, since it is smaller than the sum of its proper divisors (129039456).

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

41949600 is a wasteful number, since it uses less digits than its factorization.

41949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 41949600 is about 6476.8510867550. The cubic root of 41949600 is about 347.4635677693.

The spelling of 41949600 in words is "forty-one million, nine hundred forty-nine thousand, six hundred".