40314250200 has 288 divisors, whose sum is σ = 146453907600. Its totient is φ = 9146511360.

The previous prime is 40314250187. The next prime is 40314250213. The reversal of 40314250200 is 205241304.

40314250200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40314250187) and next prime (40314250213).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4022796 + ... + 4032804.

Almost surely, 2^40314250200 is an apocalyptic number.

40314250200 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 40314250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73226953800).

40314250200 is an abundant number, since it is smaller than the sum of its proper divisors (106139657400).

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

40314250200 is a wasteful number, since it uses less digits than its factorization.

40314250200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10179 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 40314250200 its reverse (205241304), we get a palindrome (40519491504).

The spelling of 40314250200 in words is "forty billion, three hundred fourteen million, two hundred fifty thousand, two hundred".