4042201111440 has 160 divisors (see below), whose sum is σ = 12937229107200. Its totient is φ = 1042972423680.

The previous prime is 4042201111433. The next prime is 4042201111441. The reversal of 4042201111440 is 441111022404.

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 4042201111440.

It is not an unprimeable number, because it can be changed into a prime (4042201111441) 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, 47268241 + ... + 47353679.

It is an arithmetic number, because the mean of its divisors is an integer number (80857681920).

Almost surely, 2^{4042201111440} is an apocalyptic number.

4042201111440 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 4042201111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468614553600).

4042201111440 is an abundant number, since it is smaller than the sum of its proper divisors (8895027995760).

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

4042201111440 is a wasteful number, since it uses less digits than its factorization.

4042201111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91845 (or 91839 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4042201111440 its reverse (441111022404), we get a palindrome (4483312133844).

The spelling of 4042201111440 in words is "four trillion, forty-two billion, two hundred one million, one hundred eleven thousand, four hundred forty".