40313200 has 60 divisors (see below), whose sum is σ = 97945120. Its totient is φ = 15943680.

The previous prime is 40313191. The next prime is 40313201. The reversal of 40313200 is 231304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40313201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38281 + ... + 39319.

Almost surely, 2^40313200 is an apocalyptic number.

40313200 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 40313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48972560).

40313200 is an abundant number, since it is smaller than the sum of its proper divisors (57631920).

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

40313200 is a wasteful number, since it uses less digits than its factorization.

40313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 40313200 is about 6349.2676743070. The cubic root of 40313200 is about 342.8854771557.

Adding to 40313200 its reverse (231304), we get a palindrome (40544504).

The spelling of 40313200 in words is "forty million, three hundred thirteen thousand, two hundred".