40221224120 has 128 divisors (see below), whose sum is σ = 119465487360. Its totient is φ = 11799029760.

The previous prime is 40221224083. The next prime is 40221224123. The reversal of 40221224120 is 2142212204.

It is a super-2 number, since 2×40221224120² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40221224092 and 40221224101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221224123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331724 + ... + 436443.

It is an arithmetic number, because the mean of its divisors is an integer number (933324120).

Almost surely, 2^40221224120 is an apocalyptic number.

40221224120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40221224120 is an abundant number, since it is smaller than the sum of its proper divisors (79244263240).

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

40221224120 is a wasteful number, since it uses less digits than its factorization.

40221224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768213 (or 768209 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 40221224120 its reverse (2142212204), we get a palindrome (42363436324).

The spelling of 40221224120 in words is "forty billion, two hundred twenty-one million, two hundred twenty-four thousand, one hundred twenty".