40058200 has 192 divisors, whose sum is σ = 119992320. Its totient is φ = 12096000.

The previous prime is 40058197. The next prime is 40058201. The reversal of 40058200 is 285004.

It is a happy number.

40058200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40058201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 564165 + ... + 564235.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^40058200 is an apocalyptic number.

40058200 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 40058200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

40058200 is an abundant number, since it is smaller than the sum of its proper divisors (79934120).

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

40058200 is a wasteful number, since it uses less digits than its factorization.

40058200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 40058200 is about 6329.1547618936. The cubic root of 40058200 is about 342.1609766213.

The spelling of 40058200 in words is "forty million, fifty-eight thousand, two hundred".