4042400213444 has 6 divisors (see below), whose sum is σ = 7074200373534. Its totient is φ = 2021200106720.

The previous prime is 4042400213419. The next prime is 4042400213447. The reversal of 4042400213444 is 4443120042404.

It can be written as a sum of positive squares in only one way, i.e., 3925906332100 + 116493881344 = 1981390^2 + 341312^2 .

It is a super-3 number, since 3×4042400213444³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4042400213444.

It is not an unprimeable number, because it can be changed into a prime (4042400213447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505300026677 + ... + 505300026684.

It is an arithmetic number, because the mean of its divisors is an integer number (1179033395589).

Almost surely, 2^{4042400213444} is an apocalyptic number.

It is an amenable number.

4042400213444 is a deficient number, since it is larger than the sum of its proper divisors (3031800160090).

4042400213444 is a wasteful number, since it uses less digits than its factorization.

4042400213444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010600053365 (or 1010600053363 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4042400213444 its reverse (4443120042404), we get a palindrome (8485520255848).

The spelling of 4042400213444 in words is "four trillion, forty-two billion, four hundred million, two hundred thirteen thousand, four hundred forty-four".