40082400 has 216 divisors, whose sum is σ = 149287320. Its totient is φ = 10091520.

The previous prime is 40082389. The next prime is 40082423. The reversal of 40082400 is 428004.

It is a happy number.

40082400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 136654 + ... + 136946.

It is an arithmetic number, because the mean of its divisors is an integer number (691145).

Almost surely, 2^40082400 is an apocalyptic number.

40082400 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 40082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74643660).

40082400 is an abundant number, since it is smaller than the sum of its proper divisors (109204920).

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

40082400 is a wasteful number, since it uses less digits than its factorization.

40082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40082400 is about 6331.0662609074. The cubic root of 40082400 is about 342.2298649618.

The spelling of 40082400 in words is "forty million, eighty-two thousand, four hundred".