4024321220040 has 256 divisors, whose sum is σ = 13326768518400. Its totient is φ = 964031692800.

The previous prime is 4024321220027. The next prime is 4024321220041. The reversal of 4024321220040 is 400221234204.

It is a super-2 number, since 2×4024321220040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4024321220041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205932670 + ... + 205952210.

It is an arithmetic number, because the mean of its divisors is an integer number (52057689525).

Almost surely, 2^{4024321220040} is an apocalyptic number.

4024321220040 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 4024321220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663384259200).

4024321220040 is an abundant number, since it is smaller than the sum of its proper divisors (9302447298360).

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

4024321220040 is a wasteful number, since it uses less digits than its factorization.

4024321220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21408 (or 21404 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4024321220040 its reverse (400221234204), we get a palindrome (4424542454244).

The spelling of 4024321220040 in words is "four trillion, twenty-four billion, three hundred twenty-one million, two hundred twenty thousand, forty".