40314200 has 72 divisors (see below), whose sum is σ = 99630900. Its totient is φ = 15128640.

The previous prime is 40314173. The next prime is 40314217. The reversal of 40314200 is 241304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 391349 + ... + 391451.

Almost surely, 2^40314200 is an apocalyptic number.

40314200 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 40314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49815450).

40314200 is an abundant number, since it is smaller than the sum of its proper divisors (59316700).

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

40314200 is a wasteful number, since it uses less digits than its factorization.

40314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 40314200 is about 6349.3464230580. The cubic root of 40314200 is about 342.8883123118. Note that the first 3 decimals are identical.

Adding to 40314200 its reverse (241304), we get a palindrome (40555504).

The spelling of 40314200 in words is "forty million, three hundred fourteen thousand, two hundred".