40032300 has 144 divisors (see below), whose sum is σ = 144490752. Its totient is φ = 8313600.

The previous prime is 40032281. The next prime is 40032301. The reversal of 40032300 is 323004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (40032301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22234 + ... + 23966.

It is an arithmetic number, because the mean of its divisors is an integer number (1003408).

Almost surely, 2^40032300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72245376).

40032300 is an abundant number, since it is smaller than the sum of its proper divisors (104458452).

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

40032300 is a wasteful number, since it uses less digits than its factorization.

40032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 40032300 is about 6327.1083442596. The cubic root of 40032300 is about 342.0872182738.

Adding to 40032300 its reverse (323004), we get a palindrome (40355304).

The spelling of 40032300 in words is "forty million, thirty-two thousand, three hundred".