4000444421440 has 112 divisors (see below), whose sum is σ = 10172432263680. Its totient is φ = 1495160432640.

The previous prime is 4000444421423. The next prime is 4000444421447. The reversal of 4000444421440 is 441244440004.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000444421447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6665262 + ... + 7240621.

Almost surely, 2^{4000444421440} is an apocalyptic number.

4000444421440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000444421440 is an abundant number, since it is smaller than the sum of its proper divisors (6171987842240).

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

4000444421440 is a wasteful number, since it uses less digits than its factorization.

4000444421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13905960 (or 13905950 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 4000444421440 its reverse (441244440004), we get a palindrome (4441688861444).

The spelling of 4000444421440 in words is "four trillion, four hundred forty-four million, four hundred twenty-one thousand, four hundred forty".