4021024304440 has 256 divisors, whose sum is σ = 10741146393600. Its totient is φ = 1335514521600.

The previous prime is 4021024304417. The next prime is 4021024304483. The reversal of 4021024304440 is 444034201204.

It is a junction number, because it is equal to n+sod(n) for n = 4021024304399 and 4021024304408.

It is a congruent number.

It is an unprimeable number.

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, 407848231 + ... + 407858089.

It is an arithmetic number, because the mean of its divisors is an integer number (41957603100).

Almost surely, 2^{4021024304440} is an apocalyptic number.

4021024304440 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 4021024304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370573196800).

4021024304440 is an abundant number, since it is smaller than the sum of its proper divisors (6720122089160).

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

4021024304440 is a wasteful number, since it uses less digits than its factorization.

4021024304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10638 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4021024304440 its reverse (444034201204), we get a palindrome (4465058505644).

The spelling of 4021024304440 in words is "four trillion, twenty-one billion, twenty-four million, three hundred four thousand, four hundred forty".