40217224240 has 80 divisors (see below), whose sum is σ = 95657047200. Its totient is φ = 15720708096.

The previous prime is 40217224217. The next prime is 40217224253. The reversal of 40217224240 is 4242271204.

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

It is a junction number, because it is equal to n+sod(n) for n = 40217224199 and 40217224208.

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 15 ways as a sum of consecutive naturals, for example, 604971 + ... + 668149.

It is an arithmetic number, because the mean of its divisors is an integer number (1195713090).

Almost surely, 2^40217224240 is an apocalyptic number.

40217224240 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 40217224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47828523600).

40217224240 is an abundant number, since it is smaller than the sum of its proper divisors (55439822960).

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

40217224240 is a wasteful number, since it uses less digits than its factorization.

40217224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63374 (or 63368 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

Adding to 40217224240 its reverse (4242271204), we get a palindrome (44459495444).

The spelling of 40217224240 in words is "forty billion, two hundred seventeen million, two hundred twenty-four thousand, two hundred forty".