40224240 has 240 divisors, whose sum is σ = 161561088. Its totient is φ = 8769024.

The previous prime is 40224229. The next prime is 40224257. The reversal of 40224240 is 4242204.

40224240 is a `hidden beast` number, since 402 + 24 + 240 = 666.

40224240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 115747 + ... + 116093.

Almost surely, 2^40224240 is an apocalyptic number.

40224240 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 40224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80780544).

40224240 is an abundant number, since it is smaller than the sum of its proper divisors (121336848).

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

40224240 is a wasteful number, since it uses less digits than its factorization.

40224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 40224240 is about 6342.2582728867. The cubic root of 40224240 is about 342.6330738331.

Adding to 40224240 its reverse (4242204), we get a palindrome (44466444).

It can be divided in two parts, 402 and 24240, that added together give a palindrome (24642).

The spelling of 40224240 in words is "forty million, two hundred twenty-four thousand, two hundred forty".