4001220223440 has 320 divisors, whose sum is σ = 13908412661760. Its totient is φ = 943009413120.

The previous prime is 4001220223423. The next prime is 4001220223459. The reversal of 4001220223440 is 443220221004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4001220223440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124916707 + ... + 124948733.

It is an arithmetic number, because the mean of its divisors is an integer number (43463789568).

Almost surely, 2^{4001220223440} is an apocalyptic number.

4001220223440 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 4001220223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954206330880).

4001220223440 is an abundant number, since it is smaller than the sum of its proper divisors (9907192438320).

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

4001220223440 is a wasteful number, since it uses less digits than its factorization.

4001220223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33370 (or 33364 counting only the distinct ones).

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

Adding to 4001220223440 its reverse (443220221004), we get a palindrome (4444440444444).

The spelling of 4001220223440 in words is "four trillion, one billion, two hundred twenty million, two hundred twenty-three thousand, four hundred forty".