40195200 has 192 divisors, whose sum is σ = 136598400. Its totient is φ = 10383360.

The previous prime is 40195171. The next prime is 40195217. The reversal of 40195200 is 259104.

It is a tau number, because it is divible by the number of its divisors (192).

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, 508761 + ... + 508839.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 2^40195200 is an apocalyptic number.

40195200 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 40195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

40195200 is an abundant number, since it is smaller than the sum of its proper divisors (96403200).

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

40195200 is a wasteful number, since it uses less digits than its factorization.

40195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 40195200 is about 6339.9684541802. The cubic root of 40195200 is about 342.5505990209.

The spelling of 40195200 in words is "forty million, one hundred ninety-five thousand, two hundred".