4431422040040 has 128 divisors (see below), whose sum is σ = 10638508584960. Its totient is φ = 1657406189824.

The previous prime is 4431422040029. The next prime is 4431422040047. The reversal of 4431422040040 is 400402241344.

It is a junction number, because it is equal to n+sod(n) for n = 4431422039990 and 4431422040008.

It is not an unprimeable number, because it can be changed into a prime (4431422040047) 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, 35697519 + ... + 35821441.

It is an arithmetic number, because the mean of its divisors is an integer number (83113348320).

Almost surely, 2^{4431422040040} is an apocalyptic number.

4431422040040 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 4431422040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319254292480).

4431422040040 is an abundant number, since it is smaller than the sum of its proper divisors (6207086544920).

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

4431422040040 is a wasteful number, since it uses less digits than its factorization.

4431422040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124831 (or 124827 counting only the distinct ones).

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

Adding to 4431422040040 its reverse (400402241344), we get a palindrome (4831824281384).

The spelling of 4431422040040 in words is "four trillion, four hundred thirty-one billion, four hundred twenty-two million, forty thousand, forty".