40032240 has 80 divisors (see below), whose sum is σ = 130646400. Its totient is φ = 10112256.

The previous prime is 40032227. The next prime is 40032247. The reversal of 40032240 is 4223004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40032247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171 + ... + 8949.

It is an arithmetic number, because the mean of its divisors is an integer number (1633080).

Almost surely, 2^40032240 is an apocalyptic number.

40032240 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 40032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65323200).

40032240 is an abundant number, since it is smaller than the sum of its proper divisors (90614160).

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

40032240 is a wasteful number, since it uses less digits than its factorization.

40032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40032240 is about 6327.1036027554. The cubic root of 40032240 is about 342.0870473681.

Adding to 40032240 its reverse (4223004), we get a palindrome (44255244).

It can be divided in two parts, 400 and 32240, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 40032240 in words is "forty million, thirty-two thousand, two hundred forty".