40033640 has 64 divisors (see below), whose sum is σ = 96402960. Its totient is φ = 14909440.

The previous prime is 40033621. The next prime is 40033649. The reversal of 40033640 is 4633004.

It is a happy number.

40033640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6832996 + 33200644 = 2614^2 + 5762^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40033649) 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 15 ways as a sum of consecutive naturals, for example, 76580 + ... + 77100.

Almost surely, 2^40033640 is an apocalyptic number.

40033640 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 40033640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48201480).

40033640 is an abundant number, since it is smaller than the sum of its proper divisors (56369320).

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

40033640 is a wasteful number, since it uses less digits than its factorization.

40033640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 40033640 is about 6327.2142369292. The cubic root of 40033640 is about 342.0910351230.

Adding to 40033640 its reverse (4633004), we get a palindrome (44666644).

The spelling of 40033640 in words is "forty million, thirty-three thousand, six hundred forty".