40678200 has 216 divisors, whose sum is σ = 146434080. Its totient is φ = 10497600.

The previous prime is 40678163. The next prime is 40678219. The reversal of 40678200 is 287604.

40678200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1312185 + ... + 1312215.

Almost surely, 2^40678200 is an apocalyptic number.

40678200 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 40678200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73217040).

40678200 is an abundant number, since it is smaller than the sum of its proper divisors (105755880).

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

40678200 is an equidigital number, since it uses as much as digits as its factorization.

40678200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40678200 is about 6377.9463779496. The cubic root of 40678200 is about 343.9172101110.

It can be divided in two parts, 406 and 78200, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 40678200 in words is "forty million, six hundred seventy-eight thousand, two hundred".