41995200 has 168 divisors, whose sum is σ = 148598128. Its totient is φ = 10321920.

The previous prime is 41995181. The next prime is 41995211. The reversal of 41995200 is 259914.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62064 + ... + 62736.

Almost surely, 2^41995200 is an apocalyptic number.

41995200 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 41995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299064).

41995200 is an abundant number, since it is smaller than the sum of its proper divisors (106602928).

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

41995200 is a wasteful number, since it uses less digits than its factorization.

41995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 41995200 is about 6480.3703597865. The cubic root of 41995200 is about 347.5894219779.

It can be divided in two parts, 41995 and 200, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 41995200 in words is "forty-one million, nine hundred ninety-five thousand, two hundred".